Bissoy.com
Doctors Medicines MCQs Q&A

Messi was standing on the road outside the Barcelona club where he finds that an Eagle was flying at a distance of  120 m from him at an elevation of 30°. While Sheena was standing on the roof of the 30 m high building, from where the elevation of the same eagle was 45°. Messi and Sheena were on the opposite sides of an Eagle. Find the distance of the Eagle from Sheena.   

Messi was standing on the road outside the Barcelona club where he finds that an Eagle was flying at a distance of  120 m from him at an elevation of 30°. While Sheena was standing on the roof of the 30 m high building, from where the elevation of the same eagle was 45°. Messi and Sheena were on the opposite sides of an Eagle. Find the distance of the Eagle from Sheena.    Correct Answer 42.3 m

Given∶

Distance between Eagle and Messi is 120 m with an elevation of 30°.

Height of the roof is 30m, from there the angle of elevation is 45°. 

Formula Used∶

 

Basics of Trigonometry.

Trigonometry ratios of some particular angles.

Calculation∶

Let O be the position of an Eagle, B be the position of Messi and FG be the building at which G is the position of the Sheena.

Let OL ⊥ BF and GM ⊥ OL. Then,

BO = 120m, ∠OBL = 30° 

FG = 30m, ∠OGM = 45°

From right ΔOLB, we have

OL/BO = sin 30°

⇒ OL/BO = sin 30° 

⇒ OL/120 = 1/2

⇒ OL = 120/2 = 60 m

OM = OL - ML = OL - FG = 60 - 30 = 30 m

From right Δ OMG, we have

OM/OG = SIN 45° 

⇒ OM/OG = 1/√2

⇒ OG = √2 × OM = √2 × 30

⇒ OG = 30 × 1.41 = 42.3

∴ Distance of an Eagle from Sheena is of 42.3.  

Related Questions

Six buildings L. M, N, X, Y and Z are in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either Building M or Building Z. Building M is to Building Y's immediate right/ Building N is exactly opposite Building M. Building L, which is opposite Building X, has Building Z to its immediate right. Which of the following buildings is located to Building Z's immediate right?
Six buildings ‘L’, ‘M’, ‘N’, ‘Y’ and ‘Z’ stand in a circle facing the centre. Each building is exactly opposite another one. Building ‘X’ is NOT immediately next to either building ‘M’ or ‘Z’. Building ‘M’ is to building Y’s immediate right. Building ‘N’ is exactly opposite building ‘M’. Building ‘L’, which is opposite building ‘X’, has building ‘Z’ to its immediate right. Which of the following buildings is located between building ‘L’ and ‘Y’?  
Six buildings L, M, N, X, Y, and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building Z’s immediate right?
Six buildings L, M, N, X, Y and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L, which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building X’s immediate right?
A man wishes to find the height of the building which stands on a horizontal plane. At a point on the plane, he finds the angle of elevation of the top of the building to be 60° and moving 10 m along the same line away from the building he finds the angle of elevation to be 30°. What is the height of the building?
A person is standing in front of the Burj Khalifa building, the angle of elevation from a particular point on the ground to the top of the building is 30°. When he walks 30 meters towards the building he finds his angle of elevation to be 60°. Find the height of the Burj Khalifa building?
A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.
I had seen this road many years ago when my parents moved to Mundakotukurussi, our ancestral village. However, in those early years, I hadn't begun exploring the countryside. I stored the unknown road in my head under 'One Day I Will'. Ten years ago, when I recovered from a herniated disc, it was to discover that I had a useless left leg. Though I managed to lose the limp, I hated not being able to stride around as I used to. I needed a challenge to tell myself that I wasn't going to buckle to a creature called sciatica. Thus the 'One Day I Will' arrived. "Where does the road by the medical shop lead to?" I asked my parents while visiting them next. "Chalavara," they said. "It's not an easy road to walk on," my father added. "There are too many ups and downs." Chalavara was a superior grade of a village as compared to Mundakotukurussi, with a high school, a fine library, ATMs and several shops. But it also has two approach roads. The one I had chosen was a narrow back road used by the locals and that settled it for me. I needed to know for myself I could walk a road that wasn't going to be easy. And the next day, I would get up and walk that road again.
What is 'sciatica'?
A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.
I had seen this road many years ago when my parents moved to Mundakotukurussi, our ancestral village. However, in those early years, I hadn't begun exploring the countryside. I stored the unknown road in my head under 'One Day I Will'. Ten years ago, when I recovered from a herniated disc, it was to discover that I had a useless left leg. Though I managed to lose the limp, I hated not being able to stride around as I used to. I needed a challenge to tell myself that I wasn't going to buckle to a creature called sciatica. Thus the 'One Day I Will' arrived. "Where does the road by the medical shop lead to?" I asked my parents while visiting them next. "Chalavara," they said. "It's not an easy road to walk on," my father added. "There are too many ups and downs." Chalavara was a superior grade of a village as compared to Mundakotukurussi, with a high school, a fine library, ATMs and several shops. But it also has two approach roads. The one I had chosen was a narrow back road used by the locals and that settled it for me. I needed to know for myself I could walk a road that wasn't going to be easy. And the next day, I would get up and walk that road again.
Where did the forefathers of the writer live?
A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.
I had seen this road many years ago when my parents moved to Mundakotukurussi, our ancestral village. However, in those early years, I hadn't begun exploring the countryside. I stored the unknown road in my head under 'One Day I Will'. Ten years ago, when I recovered from a herniated disc, it was to discover that I had a useless left leg. Though I managed to lose the limp, I hated not being able to stride around as I used to. I needed a challenge to tell myself that I wasn't going to buckle to a creature called sciatica. Thus the 'One Day I Will' arrived. "Where does the road by the medical shop lead to?" I asked my parents while visiting them next. "Chalavara," they said. "It's not an easy road to walk on," my father added. "There are too many ups and downs." Chalavara was a superior grade of a village as compared to Mundakotukurussi, with a high school, a fine library, ATMs and several shops. But it also has two approach roads. The one I had chosen was a narrow back road used by the locals and that settled it for me. I needed to know for myself I could walk a road that wasn't going to be easy. And the next day, I would get up and walk that road again. What disability did the writer suffer due to the herniated disc?
A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.
I had seen this road many years ago when my parents moved to Mundakotukurussi, our ancestral village. However, in those early years, I hadn't begun exploring the countryside. I stored the unknown road in my head under 'One Day I Will'. Ten years ago, when I recovered from a herniated disc, it was to discover that I had a useless left leg. Though I managed to lose the limp, I hated not being able to stride around as I used to. I needed a challenge to tell myself that I wasn't going to buckle to a creature called sciatica. Thus the 'One Day I Will' arrived. "Where does the road by the medical shop lead to?" I asked my parents while visiting them next. "Chalavara," they said. "It's not an easy road to walk on," my father added. "There are too many ups and downs." Chalavara was a superior grade of a village as compared to Mundakotukurussi, with a high school, a fine library, ATMs and several shops. But it also has two approach roads. The one I had chosen was a narrow back road used by the locals and that settled it for me. I needed to know for myself I could walk a road that wasn't going to be easy. And the next day, I would get up and walk that road again. One Day I Will' is the title of?