# Right Triangle Problems in Trigonometry

Multiple choice questions right triangle problems related to trigonometry with answers at the bottom of the page. ## Question 1What is the measure of angle A in the right triangle below?a) 17° b) 27° c) 17° d) 90° ## Question 2What is the value ofx in the figure below?
a) 1 b) 9 c) 20 d) 3 ## Question 3In 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 4In the triangle ABC below, angle A measures 30° and the length of AC is 8 units. Find the length of BCa) 8 / √ 3 b) 4 / √ 3 c) 4 d) 8 ## Question 5In the triangle below, what is sin α?a) 13 / 9 b) 9 / 13 c) 13 √10 / 50 d) 13 / 24 ## Question 6Find the length of AC in the right triangle below.a) 9 b) 9 √2 c) 18 √2 d) 18 ## Question 7Find the length of the hypotenuse in the right triangle below wherex is a real number.
a) 5 b) 10 c) 25 d) √ 5 ## Question 8Find the area of a square whose diagonal is 40 meters.a) 80 m ^{2}b) 800 m ^{2}c) 1600 m ^{2}d) 40 m ^{2}## Question 9In 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 ABa) 8 √6 b) 8 √3 c) 8 √2 d) 8 ## Question 10What is the length of AB in the figure below.a) 12 √2 b) 12 c) 12 √3 d) 12 √6 ## Question 11In the figure below, find cosθ.a) 3 / 5 b) 4 / 5 c) 1 / 5 d) 2 / 5 ## Question 12In the triangle below, m = ?a) 5 b) 10 √2 c) 20 √2 d) 5 √2 More |