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,

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

In the given right triangle,

$\cos (18^\circ) =\dfrac{x}{25}$

$\cos (18^\circ) \times 25=x$

$0.9510565 \times 25=x$

$23.7764125=x$

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

$x=23.78$

Therefore, the value of x is about 23.78 cm.