Question

Can someone help me figure out x?

Answer 1

Given:

Given that ABC is a right angled triangle.

The length of AB is 29 units.

Length of BC is 9 units.

The measure of ∠A is x.

We need to determine the value of x.

Value of x:

The value of x can be determined by using the trigonometric ratios.

Thus, we have;

`sin \ A=(BC)/(AB)`

Substituting the values, we get;

`sin \ x=(9)/(29)`

Simplifying, we get;

`sin \ x=0.3103`

Taking
`sin^(-1)` on both sides, we get;

`x=sin^(-1)(0.3103)`

`x=18.08`

Thus, the value of x is 18.08

Hence, the measure of ∠A is 18.08°