Common Core HSG.SRT.C.6 worksheet

Question 1

In the right triangle, which side is the adjacent to angle θ?

• A. p
• B. u
• C. t

Question 2

A ramp rises at 59° over a horizontal distance of 10 m. How high does it rise? Give 1 decimal place.

Answer 

Question 3

In a right triangle, angle θ has opposite side 8, adjacent side 15 and hypotenuse 17. What is cos θ?

• A. 15/17
• B. 15/8
• C. 8/15
• D. 17/8

Question 4

In triangle PYQ, the right angle is at Y. Using angle P, which side is the adjacent?

• A. YQ
• B. PQ
• C. PY

Question 5

A right triangle has hypotenuse 14 cm and an angle of 74°. Find the side adjacent to the 74° angle, to 1 decimal place.

Answer 

Question 6

An equilateral triangle has sides of 4 cm. Find its exact height.

Answer 

Question 7

A right triangle has two equal sides of 6 cm and a 45° angle. Find the hypotenuse. Give an exact answer.

Answer 

Question 8

In the right triangle, which side is the hypotenuse?

• A. q
• B. t
• C. s

Question 9

A ramp rises at 29° over a horizontal distance of 21 m. How high does it rise? Give 1 decimal place.

Answer 

Question 10

In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is cos θ?

• A. 5/3
• B. 4/3
• C. 4/5
• D. 3/4

Question 11

In triangle XNP, the right angle is at N. Using angle X, which side is the adjacent?

• A. XN
• B. NP
• C. XP

Question 12

A right triangle has hypotenuse 26 cm and an angle of 63°. Find the side adjacent to the 63° angle, to 1 decimal place.

Answer 

Question 13

An equilateral triangle has sides of 16 cm. Find its exact height.

Answer 

Question 14

A right triangle has hypotenuse 8 cm and a 60° angle. Find the side adjacent to the 60° angle. Give an exact answer.

Answer 

Question 15

In the right triangle, which side is the opposite to angle θ?

• A. s
• B. t
• C. r

Question 16

A ramp rises at 35° over a horizontal distance of 18 m. How high does it rise? Give 1 decimal place.

Answer