Question

Express the height of the tower in terms of trigonometric ratios.

A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)

Answer 1

`Height\ of\ tower\ is\ 95\ ( tan\ 35^(\circ))\ meters`

Option (B) is correct

Explanation:

By using the trignometric identity.

`tan\theta = (Perpendicular)/(Base)`

As shown in the diagram given below.

Here

Base = 95 meters

Perpendicular = Height of tower

`\theta = 35^(\circ)`

Put the value in identity

`tan\ 35^(\circ) = (Height\ of\ tower)/(95)`

`Height\ of\ tower = 95\ ( tan\ 35^(\circ))\ meters`

Option (B) is correct .