Question

What is the measure of ∠A?

Answer 1

Answer:

∠A = 60.07°

Step-by-step explanation:

Since the figure is a right angled triangle we can use trigonometric ratios to find measure of ∠A.

To find ∠A we use sine

sin ∅ = opposite / hypotenuse

From the question

the opposite is 13

the hypotenuse is 15

So we have

$\sin(∠A) = \frac{13}{15} \\∠A = \sin ^{ - 1} ( \frac{13}{15} ) \\ ∠A = 60.0735651...$

We have the final answer as

∠A = 60.07°

Hope this helps you

Answer 2

Step-by-step explanation:

Hey there!

Here;

As the figure shown is a Right angled triangle. Taking refrence angle as angle A, we get,

p= 13

h = 15

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

$\sin( \alpha ) = \frac{p}{h}$

Put all values.

$\sin( \alpha ) = \frac{13}{15}$

Simplify it.

$\sin( \alpha ) = 0.86666666$

$\alpha = { \sin}^{ - 1} (0.8666666)$

$\alpha = 60.0732°$

Therefore the measure of angle A is 60°.

Hope it helps ...