Exam 13: Right Triangle Trigonometry

Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. $\angle A = 68.3 ^ { \circ } , c = 39.5 \mathrm {~m}$ a =  __________ m b =  __________ m ∠B =  __________ $^ { \circ }$

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. a = 49,200 m, b = 44,900 m Side c is __________ m.

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 151 km, b = 674 km

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 20.72 m, c = 46.92 m

Find the angle rounded to the nearest tenth of a degree. tan C = 3.3873 Angle C = __________ ^o

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. a = 1.29 km, b = 4.12 km The unknown side c is _____ km.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $b = 125.6 \mathrm {~cm} , \angle B = 23.33 ^ { \circ }$

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 14.6 m, c = 16.1 m

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $c = 289.8 \mathrm {~cm} , \angle A = 24.62 ^ { \circ }$

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 30.2 mi, l = 41.1 mi The unknown side m is _____ mi.

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 422 km, c = 621 km

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. $b = 12.3 \mathrm {~m}$ , $c = 17.8 \mathrm {~m}$ A = __________° B = __________°

Find the angle rounded to the nearest tenth of a degree. sin A = 0.2555 A = __________ ^o

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $c = 251 \mathrm {~cm} , \angle A = 25.5 ^ { \circ }$

Find the value of the trigonometric ratio rounded to four significant digits. sin 36.66 ^o

Enrico has to draft a triangular roof to a house. (See the illustration.) The roof is 30 ft wide. If the rafters are 26 ft long, at what angle will the rafters be laid at the eaves? Assume no overhang. Round your answer to the appropriate number of significant digits.

A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 37.6 ^o. The paper is to be elevated 12.0 m. What length of conveyor is needed? Round your answer to the appropriate number of significant digits.

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 24.54 ft, c = 41.38 ft

A benchmark has been covered up with dirt and needs to be found. The CAD drawing shows it is located 37.0.0-feet from a property stake at an angle of $1130 ^ { \circ }$ What distance "B" from the stake parallel to the curb line should you start to dig to find this benchmark? Round your answer to the appropriate number of significant digits.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $a = 18.4 \mathrm { mi } , \angle A = 71.3 ^ { \circ }$