201k views
3 votes
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

9 units, 12 units



11 units, 10.2 units



4.9 units, 15.8 units



4.9 units, 14.2 units



5.2 units, 14.1 units

2 Answers

6 votes

Answer:

D.

4.9 units, 14.2 units

Explanation:

JUst took test PLATO

User Hitesh Vaghela
by
8.2k points
2 votes
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
leg 1 = (15 units) x (cos 19) = 14.18 units
leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units.
User Will Ashworth
by
7.8k points