# Answer to Question #32587 in Trigonometry for Mayank

Question #32587

A vertical tower is 20 m high. A men standing at some distance from the

tower knows that the cosine of the angle of elevation of the top of the tower is 0.53

.How far is he standing from the froot of the tower ?

tower knows that the cosine of the angle of elevation of the top of the tower is 0.53

.How far is he standing from the froot of the tower ?

Expert's answer

The distance between the man and the tower and the tower itself are legs of right triangle. Therefore

distance=height*cotan(angle)

angle=cos^-1(0.53)=approximately 58 degrees.

So we obtain distance=height*cotan(angle)=20*cotan(58)=12.5m

distance=height*cotan(angle)

angle=cos^-1(0.53)=approximately 58 degrees.

So we obtain distance=height*cotan(angle)=20*cotan(58)=12.5m

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