46.7k views
4 votes
What are the lengths of a right triangle in which one acute angle measures 19 degrees and the hypotnuse is 15 units long

User Evian
by
5.5k points

2 Answers

7 votes

Answer:

For plato users the correct option is D.

Explanation:

D. 4.9 units, 14.2 units

User Quartz
by
5.4k points
7 votes

Answer:

4.884 units, 14.183 units

Explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and hypotenuse:

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

Then the Opposite and Adjacent sides can be found by multiplying the sine and cosine of the angle by the length of the hypotenuse.

... short side = 15 · sin(19°) ≈ 4.884 units

... long side = 15 · cos(19°) ≈ 14.183 units

User Tiancheng Liu
by
4.6k points
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