Question

For the right triangle below, find the length of ‘x’. Round to the hundredths

Answer 1

GIVEN

A right triangle with a hypotenuse of length 15 units and an angle of 28 degrees.

SOLUTION

Recall the Sine Trig Ratio:

$\sin\theta=\frac{opp}{hyp}$

From the triangle, the following parameters can be had:

$\begin{gathered} \theta=28\degree \\ opp=x \\ hyp=15 \end{gathered}$

Substitute known values:

$\begin{gathered} \sin28=\frac{x}{15} \\ \therefore \\ x=15\times\sin28 \\ x=7.04 \end{gathered}$

The value of x is 7.04 units, rounded to the nearest hundredths.