# Right Triangle Problems in Trigonometry

 Multiple choice questions right triangle problems related to trigonometry with answers at the bottom of the page. Question What is the measure of angle A in the right triangle below? a) 17° b) 27° c) 17° d) 90° Question What is the value of x in the figure below? a) 1 b) 9 c) 20 d) 3 Question In a right triangle, the measure of one of the angles is 49° and the hypotenuse has a length of 50 cm. Which of the following is the nearest approximation to the length, in cm, of the leg opposite to this angle? a) 32.8 b) 57.5 c) 37.7 d) 30.3 Question In the triangle ABC below, angle A measures 30° and the length of AC is 8 units. Find the length of BC a) 8 / √ 3 b) 4 / √ 3 c) 4 d) 8 Question In the triangle below, what is sin α? a) 13 / 9 b) 9 / 13 c) 13 √10 / 50 d) 13 / 24 Question Find the length of AC in the right triangle below. a) 9 b) 9 √2 c) 18 √2 d) 18 Question Find the length of the hypotenuse in the right triangle below where x is a real number. a) 5 b) 10 c) 25 d) √ 5 Question Find the area of a square whose diagonal is 40 meters. a) 80 m2 b) 800 m2 c) 1600 m2 d) 40 m2 Question In the figure below BC is perpendicular to AD, CD = 8, the measure of angle D is 60° and the measure of angle A is 45°. Find the length of AB a) 8 √6 b) 8 √3 c) 8 √2 d) 8 Question What is the length of AB in the figure below. a) 12 √2 b) 12 c) 12 √3 d) 12 √6 Question In the figure below, find cosθ. a) 3 / 5 b) 4 / 5 c) 1 / 5 d) 2 / 5 Question In the triangle below, m = ? a) 5 b) 10 √2 c) 20 √2 d) 5 √2 ANSWERS b) d) c) a) c) b) d) b) a) c) b) d)