Question

What is the value of side "a" in the triangle shown below?

A right triangle with an acute angle 30 degrees and side opposite this angle is labeled a. The hypotenuse is labeled 10.

√10
√5
7
5
3

Answer 1

Answer:

a = 5

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for a and

sin30° = $\frac{1}{2}$, thus

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{10}$, hence

$\frac{a}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2a = 10 ( divide both sides by 2 )

a = 5