Posted by **Taylor** on Thursday, July 1, 2010 at 10:16pm.

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.)

- trigonometry -
**MathMate**, Thursday, July 1, 2010 at 10:46pm
One side length of a right triangle is 4 and the hypotenuse is 7.

Then

sin(θ)=4/7, and

θ = sin^{-1}4/7.

(you will need to use the calculator for finding θ).

Similarly, the other angle can be calculated from:

φ = 90°-θ

- MATH HELP!!! -
**Taylor**, Thursday, July 1, 2010 at 10:51pm
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°

- MATH HELP!!! -
**MathMate**, Friday, July 2, 2010 at 9:37pm
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^{-1}2/5.

(you will need to use the calculator for finding θ).

Similarly, the other angle can be calculated from:

φ = 90°-θ

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