Question

A person 25cm away from a cell tower at angle of elevation 30° Find height of tower

Answer 1

Further use value of root 3.

Hope it helps

Answer 2

Answer:

Step-by-step explanation:

Given distance of person from tower =25cm

And angle of elevation =30°

Now the tower,ground and person forms a right angle triangle.

Therefore from right triangle we get-

Tan30°=height of the tower/distance of person from tower. ( since tan theta = perpendicular/base)

Or 1/root 3= height of the tower /25cm

Or. 25cm =root 3×height of tower

Or. 25/root3= height of the tower

Now by rationalizing,

25×root3/root3×root3=heoght of tower

= 25root3/3

Therefore h of the tower= 25root3/3