Question

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Answer 1

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

`\cos \theta=(Adjacent)/(Hypotenuse)`

In triangle ABC,

`\cos A=(AC)/(AB)`

`\cos (31^\circ)=(b)/(270)`

`0.857=(b)/(270)`

Multiply both sides by 270.

`0.857* 270=b`

`231.39=b`

`b\approx 231.4`

Therefore, the missing side length is b=231.4 inches.