Question

Solve for x. Round to the nearest hundredth​

Answer 1

Given:

The given triangle is a right angled triangle.

One of the angle is 64° and the length of one of the leg is x.

The length of the hypotenuse is 28.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

`cos \ \theta=(adj)/(hyp)`

where
`\theta= 64`, adj = x and hyp = 28

Substituting the values, we get;

`cos\ 64=(x)/(28)`

Multiplying both sides by 28, we have;

`cos \ 64 * 28=x`

`0.438* 28=x`

`12.264=x`

Rounding off to the nearest hundredth, we get;

`12.26=x`

Therefore, the value of x is 12.26