Given a right triangle with a side of length 4 and a hypotenuse of length 7, find the measure of the two acute angles. (Round to the nearest hundredth.)

Answer 1

One side length of a right triangle is 4 and the hypotenuse is 7.
Then
sin(θ)=4/7, and
θ = sin^-14/7.
(you will need to use the calculator for finding θ).
Similarly, the other angle can be calculated from:
φ = 90°-θ

Answer 2

thank you so much.. it really helped but i have one more,

The hypotenuse of a right triangle is 5 inches. If one leg is 2 inches, find the degree measure of each angle.

A. 42.4° and 47.6° B.12.2° and 77.8°
C. 23.6° and 66.4° D.16.7° and 73.2°

Answer 3

This is almost the same problem as the previous.

One side length of a right triangle is 2 and the hypotenuse is 5.
Then
sin(θ)=2/5, and
θ = sin^-12/5.
(you will need to use the calculator for finding θ).
Similarly, the other angle can be calculated from:
φ = 90°-θ