Trigonometric Equations Question 163
Question: At a point on the ground the angle of elevation of a tower is such that its cotangent is 3/5. On walking 32 metres towards the tower the cotangent of the angle of elevation is 2/5. The height of the tower is
Options:
A) 160 m
B) 120 m
C) 64 m
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \cot \alpha =\frac{3}{5} $ , $ \cot \beta =\frac{2}{5} $ , $ 32=h\cot \alpha -h\cot \beta $ $ h=( \frac{32}{\cot \alpha -\cot \beta } ) $ $ =\frac{32}{1/5}=160m $ .
BETA
