Pythagorean Theorem and Trigonometric Ratios

EHK Pythagorean Theorem and Trig Ratios

Multiple Choice

For this right triangle, find the side length x.

• 16

• 41

• 29

• 25

Multiple Choice

Which equation can be used to solve for x?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Multiple Choice

Find the distance between these two points (0, -1) and (2, 0)

• 1.7

• 3.1

• 2.2

• 4.3

Multiple Choice

Find the distance between these two points (-5, 5) and (1, -2)

• 9.2

• 7.5

• 12

• 3.4

Multiple Choice

What is the acronym to help you remember the ratios to use in trigonometry?

• RIGHTANG
• SOHCAHTOA
• SHOCHATOA

Multiple Choice

Which trig function do you use in order to find x?

• sine

• cosine

• tangent

Multiple Choice

Find cos A

• A

• B

• C

• D

Multiple Choice

Find sin A

• 32/40

• 32/24

• 24/40

• 24/32

Multiple Choice

Choose the correct ratio.

• cos(33^o) = x / 14

• sin(33^o) = 14 / x

• cos(33^o) = 14 / x

• sin(33^o) = x / 14

Multiple Choice

Choose the correct ratio.

• sin(37^o) = x / 14

• cos(37^o) = x / 14

• tan(37^o) = x / 14

• sin(37^o) = 14 / x

Multiple Choice

Use the above triangle to find cos B, tan B, and sin B

• $$\cos B=\frac{15}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{8}{17}$$  

• $$\cos B=\frac{8}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{15}{17}$$  

• $$\cos B=\frac{15}{17},\ \tan B=\frac{8}{15},\ \sin B=\frac{8}{17}$$  

• $$\cos B=\frac{8}{15},\ \tan B=\frac{8}{17},\ \sin B=\frac{15}{17}$$  

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is the total distance she traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Multiple Choice

A kite is flying 84 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65°. Find the length of the string. Round your answer to the nearest tenth.

• 198.8 ft

• 92.7 ft

• 39.2 ft

• 76.1 ft

Multiple Choice

A ladder leans against the side of a house. The angle of elevation of the ladder is 61° and the top of the ladder is 15 ft above the ground.  Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.

• 8.3 ft

• 0.1 ft

• 30.9 ft

• 17.2 ft