First slide

Applications of trigonometry

Question

A man observes that the tops of three poles standing in front of him are in a line. If the heights of the poles are in A.P. then the horizontal distances of the poles from the man are in

Easy

A

$A . P .$
B

$G . P .$
C

$H . P .$
D

$A . G . P .$

Solution

$W e h a v e \tan α = \frac{h_{1}}{a} = \frac{h_{2}}{b} = \frac{h_{3}}{c}$
$\Rightarrow a = h_{1} \cot α, b = h_{2} \cot a, c = h_{3} \cot α$
$S i n c e h_{1}, h_{2}, h_{3} a r e i n A . P . \Rightarrow h_{1} c o t α, h_{2} c o t α, h_{3} c o t α a r e i n A . P . \Rightarrow a, b, c, a r e i n A . P .$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App