Posted by **Hanna** on Monday, February 27, 2012 at 9:35pm.

To the nearest degree, what is the measure of the smallest angle of a right triangle whose legs measure 9 and 15?

- Geometry -
**MathMate**, Monday, February 27, 2012 at 10:13pm
There are two acute angles in a right triangle. The tangents of these angles are the ratio of the legs. The small ratio corresponds to the smaller angle.

You'd be looking for tan^{-1}9/15.

- Geometry -
**Hanna**, Monday, February 27, 2012 at 10:14pm
Tangent= Opposite/Hypotenuse

Tan 9/15=30.96 (This is the Smallest Angle)

Check:

90(This is the Right angle)+30.96=120.9

180-120.9=59.1(This is the third angle.)

9/sin 30.96 = 15/sin 59.1.

This Does Work.

So the Smallest Angle is 30.9 Degrees, rounded to 31.

- Geometry -
**MathMate**, Tuesday, February 28, 2012 at 7:23am
The answer of 31° is correct.

Your definition of tangent was probably a typo, and it should read:

Tangent = opposite / adjacent

## Answer this Question

## Related Questions

- math - An isosceles, obtuse triangle has one angle with a degree measure that is...
- Geometry - Writing indirect proofs. Can someone please check for me. I am not ...
- Algebra II - The measure of the largest angle of a triangle is 90 more than the...
- Algebra: check my answer - A right triangle’s legs are 3 and 4 meters long. ...
- Geometry - What is the measure of the complement of a 67 degree angle? The ...
- Geometry/Trig. - Let angle A be and acute angle in a right triangle. Approximate...
- Math - In triangle ABC, the degree measure of angle A is 20 degree greater than ...
- Algebra 1 - Find the measure of the smallest angle of the right triangle. c= ...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...

More Related Questions