Question

From a point on the ground the angles of elevation of the bottom
and top of a communication tower fixed on the top of a 20-m-high
building are 45° and 60° respectively. Find the height of the tower.​

Answer 1

Answer:

height of tower would be 14.64 m.

Step-by-step explanation:

first, we will find the base which is common for both elevations.

tan 45°= perpendicular / base

1 = 20 / base

base = 20 m.

now,we have base so we can easily find the height of the tower,

for which,we will let the height of the tower be X

tan 60° = perpendicular / base

√3 = 20+x / 20

x = 14.64 m.

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