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ΔDEF is right angled at E. If sinD = 15/17, then what is the value of cotF ?

ΔDEF is right angled at E. If sinD = 15/17, then what is the value of cotF ? Correct Answer 15/8

In the given ∆DEF shown below,

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sin D = opposite/hypotenuse = EF/DF = 15/17

⇒ EF = 15 units and DF = 17 units

Using Pythagoras theorem,

⇒ DE2 = DF2 - EF2 = 172 - 152 = 289 - 225 = 64

⇒ DE = √64 = 8 units

∴ cot F = hypotenuse/opposite = EF/DE = 15/8

Related Questions

The perimeter of ΔABC and ΔDEF are 39.6 cm and 26.4 cm, respectively, and ΔABC ~ ΔDEF. What is the ratio of the areas of ΔABC and ΔDEF?
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