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

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. 
Tangent= Opposite/Hypotenuse
Tan 9/15=30.96 (This is the Smallest Angle)
Check:
90(This is the Right angle)+30.96=120.9
180120.9=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. 
The answer of 31° is correct.
Your definition of tangent was probably a typo, and it should read:
Tangent = opposite / adjacent
Respond to this Question
Similar Questions

Geometry
Writing indirect proofs. Can someone please check for me. I am not sure If this is correct.Thanks much Given: triangle ABC angle B=120 degree Proof: Triangle A does not equal 60 degree Plan: Using an indirect proof, using the paragraph … 
Geometry/Trig.
Let angle A be and acute angle in a right triangle. Approximate the measure of andgle A to the nearest tenth of a degree. cos A = 0.11 
Geometry
What is the measure of the complement of a 67 degree angle? 
Algebra: check my answer
A right triangle’s legs are 3 and 4 meters long. What is the measure of the angle adjacent to the 4meter leg to the nearest tenth of a degree? 
Algebra II
The measure of the largest angle of a triangle is 90 more than the measure of the smallest angle, and the measure of the remaining angle is 30 more than the measure of the smallest angle. Find the measure of each angle. Show your … 
Math
In triangle ABC, the degree measure of angle A is 20 degree greater than the degree measure of angle B. Angle C is a right angle. What is the measure of angle B? 
math
An isosceles, obtuse triangle has one angle with a degree measure that is 50% larger than the measure of a right angle. What is the measure, in degrees, of one of the two smallest angles in the triangle? 
Algebra
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle. 
Algebra
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle. 
algebra
The angles in a triangle are such that the measure of one angle is 10° more than the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three …