Solving Right Triangles

Alexandra needs to reshingle her roof. She leans a ladder against the the wall of the house so that the top of the ladder is 8 feet above the ground. The bottom of the ladder is 5 feet from the base of the wall. Find the angle formed between the ladder and the house. Round the answer to the nearest whole degree.

B. 32

Find m<B

B. 34.5

Katie leans a 12-inch ruler against a stack of books that is 7 inches high. The ruler leans in such a way that the tip of the ruler lies right above the edge of the book. Estimate the angle formed where the ruler touches the desk. Round the answer to the nearest hundredth.

B. 35.69

sin x = 1/7 . Solve for x. Round the answer to the nearest tenth.

B. 8.2

Solve ∆EFD. Round the answers to the nearest hundredth.

B. m<F =26, m<D = 64.01, FD = 7,921

On her way home, Carrie must drive up a hill that has an incline of 5° If Carrie's vehicle stops at an elevation 0.25 miles higher than where she started, how far did she drive up the hill?

C. 2.87

Find m<B. Round the answer to the nearest tenth.

C. 40.2

Find the length of FH. Round answer to the nearest hundredth.

C. 7.07

What function would you use to find m<D?

D. cos -1 e/f

Solve ∆BCD. Round answers to the nearest hundredth, if necessary.

D. m<D = 73, BC = 22, CD = 6.72

Explain why sin(90°) = 1

Sine = Opposite divided by Hypotenuse Opposite is the side of the triangle opposite the angle (in this case the 90o angle). Hypotenuse is the side opposite the right angle in a right angle triangle. Therefore, Sine 90 = 1 because the opposite side and the hypotenuse are the same side, they are both opposite the right angle.