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,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

In the given triangle,

$\cos 28^\circ=\dfrac{15}{x}$

$x=\dfrac{15}{\cos 28^\circ}$

$x=\dfrac{15}{0.8829476}$

$x=16.98855$

Round the value to the nearest tenth.

$x\approx 17.0$

Therefore, the value of x is 17.0 units.