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=(opp)/(hyp)`

where
`\theta=38^(\circ)`,
`opp=BC` and
`hyp=AB`

Substituting these values, we get;

`sin \ 38^(\circ)=(BC)/(AB)`

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

`sin \ 38^(\circ)=(a)/(10)`

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

`sin \ 38^(\circ) * 10=a`

`0.6157 * 10=a`

`6.157=a`

Thus, the value of a is 6.157 m