Question

A tower stands vertically on the ground. from a point which is 15 meters away from the foot of tower, the angle of elevation of the top of the tower is 45 degrees. what is the height of the tower.

Answer 1

tan 45= perpendicular / base

so 1 = height of the tower/ distance from its foot

so, 1 = H/15
so, H = 15 m

Answer 2

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⏩ given : distance from foot of tower= adjacent side = 15m

⏹ height of tower be opposite side

⏩ tan tita = 45

then we have , tan tita = opposite ÷ adjacent

tan 45= opp÷ adj

1 = opposite÷ 15

0pposite side = height of tower = 15× 1 = 15m