Bissoy.com
Doctors Medicines MCQs Q&A

A ladder leaning against a wall makes an angle α with the horizontal ground such that tan α = 3/4 If the foot of the ladder is 5 m away from the wall, what is the length of the ladder?

A ladder leaning against a wall makes an angle α with the horizontal ground such that tan α = 3/4 If the foot of the ladder is 5 m away from the wall, what is the length of the ladder? Correct Answer 6.25 m

[ alt="F3 V.G Deepak 1.11.2019 D7" src="//storage.googleapis.com/tb-img/production/19/11/F3_V.G_Deepak_1.11.2019_D7.png" style="width: 126px; height: 122px;">

Given

tan α = 3/4

∴ p = 3 units, b = 4 units and h = 5 units

4 units = 5

∴ 1 unit = 5/4

Length of ladder = 5 unit = 5 × 5/4 = 25/4 = 6.25 m

Related Questions

A ladder leaning against a wall makes an angle θ with the horizontal ground such that \(\cos \theta = \dfrac{5}{13}\). If the height of the top of the ladder from the foot of the wall is 18 m, then what is the distance (in m) of the foot of the ladder from the wall?
A ladder leaning against a wall makes an angle θ with the horizontal ground such that tan θ = 12/5. If the height of the top of the ladder from the wall is 24 m., then what is the distance (in m) of the foot of the ladder from the walI ?
A ladder leaning against a wall makes an angle θ with the horizontal ground such that sin θ = 12/13 If the foot of the ladder is 7.5 m from the wall, then what is the height of the point where the top of the ladder touches the wall?
A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 10 m away from the wall, what is the length of the ladder?
A ladder of length 13 metres is placed against the wall and the foot of the ladder is 6.5 metres from the wall. What is the angle of elevation of the ladder leaning against a wall?
A ladder is kept leaning against a wall such that its tip is along the top of the wall. Length of the ladder is 13 m. The height of the wall is 12 m. What is the distance between the base of the wall and the foot of the ladder?
A ladder leaning against a window of a house makes an angle of 60° with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is closest to:
A ladder is placed against a wall such that it just reaches the top of the wall. The foot of the ladder is at a distance of 5 metres from the wall. The angle of elevation of the top of the wall from the base of the ladder is 15°. What is the length (in metres) of the ladder?
A ladder is leaning against a vertical wall. The ladder is 9 meter high. When the foot of the ladder is taken 3 meter awaythen the top of the ladder reach equal to the bottom of the wall. What is the height of wall? 
The angle of elevation of a ladder leaning against a wall is 60" and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is-