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Calculating Heights and Distances

14. The angle...

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14. The angle of elevation of the top of the tower observed from each three points on the A,B,C on the ground forming same angle alpha .if R is circum Radius of the ΔABC , then height of the tower.

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Q. The angle of elevation of the top of the tower observed from each of the three points

A, B, C

on the ground, forming a triangle is the same angle

α

^{'} R^{'}

be the circumradius of the triangle, then height of tower is :

Q. The angle of elevation of the top of the tower observed from each of three points A, B, C on the horizontal ground, forming a triangle ABC, is observed to be

^{'} θ^{'}

. If 'R' be the circumradius of the triangle, then height of tower is :

Q. The angle of elevation of the top of a tower as observed from a point on the ground is α and on moving metres towards the tower, the angle of elevation is β. Prove that the height of the tower is

\frac{a \tan α \tan β}{(\tan β - \tan α)} .

Q. The angle of elevation of the top of a tower ad observed from a point on the horizontal ground is

x

. If we move a distance

^{'} d^{'}

towards the foot of the tower, the angle of elevation increases to

y

, then the height if the tower is

5 m

high is fixed on the top of a tower. The angle of elevation of the top of the poles observed from a point

A

on the ground is

60^{\circ}

and the angle of depression of point

A

from the tower is

45^{\circ}

. Find the height of the tower

\sqrt{3} = 1.732

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Calculating Heights and Distances

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