Trigonometric Functions: Inverse Trigonometric Values

think icon Think & Click: Solving Right Triangles

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Solve for the missing angle and sides of the following triangle.

image of right triangle with right angle labeled C, acute angle B equals to 53 degrees and hypotenuse equal to 5 meters, acute angle A does not have a measure labeled

Angle A + 53° + 90° = 180°

Angle A = 37°

cos 53° = BC divided by five

BC = 3.01

AC2 +3.012 = 52

AC = 3.99
 

Solve for the missing angle and sides of the following triangle.
image of right triangle with right angle labeled C, acute angle A equals to 24 degrees, and hypotenuse equal to 14 miles

Angle B + 24° + 90° = 180°

Angle B = 66°

cos 24° = AC divided by fourteen

AC = 12.79

BC2 + 12.792 = 142

BC = 5.69