In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle?

Question

Luka

Mathematics

5 January, 22:27

In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle?

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Answers (1)

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Aniya Brewer · Answer 1

To solve this, you should know the acronym SOH, which means the sin of an angle is equal to the length of the opposite side divided by the length of the hypotenuse.

Once you plug in the numbers, your formula will look like this:

sin20 = 10/x

Then, solve for x:

xsin20 = 10

x (.91) = 10

x = 10.99