Question

find the measure of the angle marked with a? Using the inverse trig functions. Round your answer to the nearest degree.​

Answer 1

Explanation:

Hey there!

Here;

The figure given is a Right angled triangle.

Let the unknown angle be a refrence angle.

Now,

p = 23

h = 29

In ratio of sin there is 'p' and 'h'. So, using sin ratio.

`\sin( \alpha ) = (p)/(h)`

`\sin( \alpha ) = (23)/(29)`

`\alpha = { \sin}^( - 1) (0.7931034)`

`\alpha = 52.47°`

Therefore the the angle is 52°.

Hope it helps..

Answer 2

Answer: 52°

Explanation:

`\sin \theta=\frac{\text{side OPPOSITE of angle}}{\text{HYPOTENUSE}}\\\\\\\sin \theta =(23)/(29)\\\\\\.\quad \theta=\sin ^(-1)\bigg((23)/(29)\bigg)\\\\\\.\quad \theta =52.47^o`

Rounded to the nearest degree: Ф = 52°