Exam 13: Right Triangle Trigonometry

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Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. B=38.52,a=4,314 m\angle B = 38.52 ^ { \circ } , a = 4,314 \mathrm {~m}  Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits.  \angle B = 38.52 ^ { \circ } , a = 4,314 \mathrm {~m}    b =  __________ m c =  __________ m ∠A =  __________    ^ { \circ } b =  __________ m c =  __________ m ∠A =  __________ ^ { \circ }

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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 = 2,420 km, c = 3,580 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 = 2,420 km, c = 3,580 km

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Solve the right triangle. Round your answer to the appropriate number of significant digits. A=41.6,c=488 m\angle A = 41.6 ^ { \circ } , c = 488 \mathrm {~m}  Solve the right triangle. Round your answer to the appropriate number of significant digits.  \angle A = 41.6 ^ { \circ } , c = 488 \mathrm {~m}

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Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=19.78 m,A=19.76a = 19.78 \mathrm {~m} , \angle A = 19.76 ^ { \circ }  Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits.  a = 19.78 \mathrm {~m} , \angle A = 19.76 ^ { \circ }

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Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. c=49.1 cm,A=36.6c= 49.1 \mathrm {~cm} , \angle A = 36.6 ^ { \circ }  Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits.  c= 49.1 \mathrm {~cm} , \angle A = 36.6 ^ { \circ }

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Find length AB along the roofline of the building in the illustration. The slope of the roof is 49.0 o. Round your answer to the appropriate number of significant digits. Find length AB along the roofline of the building in the illustration. The slope of the roof is 49.0 <sup>o</sup>. Round your answer to the appropriate number of significant digits.

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Find the angle rounded to the nearest tenth of a degree. sin B = 0.3290

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Solve the right triangle. Round your answer to the appropriate number of significant digits. A=14.50,b=128.3 cm\angle A = 14.50 ^ { \circ } , b = 128.3 \mathrm {~cm}  Solve the right triangle. Round your answer to the appropriate number of significant digits.  \angle A = 14.50 ^ { \circ } , b = 128.3 \mathrm {~cm}

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Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side, rounded to two significant digits. a = 2.91 km, b = 3.62 km Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side, rounded to two significant digits. a = 2.91 km, b = 3.62 km   Side c is __________ km. Side c is __________ km.

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The recommended safety angle of a ladder against a building is 71 o. A 101 \overline { 0 } -m ladder will be used. How high up on the side of the building will the ladder safely reach? (See the illustration.) Round your answer to the appropriate number of significant digits.  The recommended safety angle of a ladder against a building is 71 <sup>o</sup>. A  1 \overline { 0 }  -m ladder will be used. How high up on the side of the building will the ladder safely reach? (See the illustration.) Round your answer to the appropriate number of significant digits.

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Round metal duct runs along side some stairs from the floor to the ceiling. If the ceiling is 8.00 ft high and the angle of elevation between the floor and duct is 36.0 o, how long is the duct? Round your answer to the appropriate number of significant digits.

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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 = 8,897 km, c = 9,814 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. a = 8,897 km, c = 9,814 km

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