Question

Can you help me find a?

Answer 1

Given:

The triangle ABC is a right angled triangle.

The length of AB is 10 m

The length of BC is a.

The measure of angle A is 38°

We need to determine the value of a.

Value of a:

The value of a can be determined using the formula,

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

where $\theta=38^{\circ}$, $opp=BC$ and $hyp=AB$

Substituting these values, we get;

$sin \ 38^{\circ}=\frac{BC}{AB}$

Substituting BC = a and AB = 10, we get;

$sin \ 38^{\circ}=\frac{a}{10}$

Multiplying both sides of the equation by 10, we get;

$sin \ 38^{\circ} \times 10=a$

 $0.6157 \times 10=a$

           $6.157=a$

Thus, the value of a is 6.157 m