Question

What is the value of x in the triangle?

Round your final answer to the
nearest hundredth

Answer 1

Given:

In a right angle triangle,

Hypotenuse = 25 cm

Base = x

Angle between base and hypotenuse = 18 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

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

In the given right triangle,

`\cos (18^\circ) =(x)/(25)`

`\cos (18^\circ) * 25=x`

`0.9510565 * 25=x`

`23.7764125=x`

Round the answer to the nearest hundredth (two decimal).

`x=23.78`

Therefore, the value of x is about 23.78 cm.