Question

Find the missing side. Round to
the nearest tenth.
Х
28°
15
x = [?]

Answer 1

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

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

In the given triangle,

`\cos 28^\circ=(15)/(x)`

`x=(15)/(\cos 28^\circ)`

`x=(15)/(0.8829476)`

`x=16.98855`

Round the value to the nearest tenth.

`x\approx 17.0`

Therefore, the value of x is 17.0 units.