Question

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?

Answer 1

29.2

Explanation:

Angle A measures 20 degrees and we know the opposite angle = 10.

To find hypotenuse we use Sin (opp/hyp)

Sin(20)=10/x since x is unknown

Make equation = to x by swapping Sin(20) and x

x= 10/Sin(20)=29.2

Answer 2

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