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

Answer:

$Height\ of\ tower\ is\ 95\ ( tan\ 35^{\circ})\ meters$

Option (B) is correct

Step-by-step explanation:

By using the trignometric identity.

$tan\theta = \frac{Perpendicular}{Base}$

As shown in the diagram given below.

Here

Base = 95 meters

Perpendicular = Height of tower

$\theta = 35^{\circ}$

Put the value in identity

$tan\ 35^{\circ} = \frac{Height\ of\ tower}{95}$

$Height\ of\ tower = 95\ ( tan\ 35^{\circ})\ meters$

Option (B) is correct .