Question

Two poles are 25m and 15m high and the line joining their tops makes an angle of 45 with the horizontal the distance between their poles is

Answer 1

SOLUTION:-

Given:

Two poles are 25m & 15m high and the line joining their tops makes an angle 45°.

To find:

The horizontal distance between their poles.

Explanation:

•Two poles AD & CE of height are 25m & 15m.

BD= CE= 15cm

So,

AB= AD - CE

AB= 25m- 15m

AB= 10m

In ∆ABC,

$tan \theta = \frac{Perpendicular}{Base} \\ \\ = > tan45 \degree = \frac{AB}{BC} \\ \\ = > 1 = \frac{10}{x} \\ \\ = > x = 10m$

Thus,

The horizontal distance between the poles is 10m.

Thank you.

Answer 2

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