Question

Find the measure of the indicated angle to the nearest degree.

Answer 1

Answer:

62°

Step-by-step explanation:

We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:

"In any triangle, the ratio of a side length to the sine of its opposite angle

is the same for all three sides"

$\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}$

where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c

For the given triangle we get
44/sin90 = 39/sin?

sin90 is 1 so we get 44/1 = 39/sin?

or cross-multiplying,

sin? = 39/44 = 0.886363..

? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer

Answer 2

Answer:

? ≈ 62°

Step-by-step explanation:

using the sine ratio in the right triangle

sin? = $\frac{opposite}{hypotenuse}$ = $\frac{39}{44}$ , then

? = $sin^{-1}$ ( $\frac{39}{44}$ ) ≈ 62° ( to the nearest degree )