Trigonometric Ratios

Find the value of the missing side in a right triangle with a hypotenuse of 10 and an opposite side of 6.

• 12

• 4

• 8

• 5

Tags

CCSS.HSG.SRT.C.8

In a right triangle, if the adjacent side is 8 and the hypotenuse is 10, what is the value of the sine of the angle opposite the adjacent side?

• 1.2

• 0.8

• 0.5

• 0.3

Tags

CCSS.HSG.SRT.C.6

A ladder is leaning against a wall. If the angle between the ladder and the ground is 60 degrees and the ladder is 20 feet long, how far is the base of the ladder from the wall?

• 15 feet

• 10√3 feet

• 5√3 feet

• 25 feet

Tags

CCSS.HSG.SRT.C.8

In a right triangle, if the hypotenuse is 15 and the adjacent side is 9, what is the value of the cosine of the angle opposite the adjacent side?

• 1.2

• 0.4

• 0.6

• 0.8

Tags

CCSS.HSG.SRT.C.6

A flagpole casts a shadow of 25 feet when the angle of elevation of the sun is 30 degrees. How tall is the flagpole?

• 20 feet

• 10 feet

• 12.5 feet

• 15 feet

Tags

CCSS.HSG.SRT.C.8

A ramp has an angle of elevation of 20 degrees. If the ramp is 15 feet long, how high is the top of the ramp from the ground?

• 3.75 feet

• 5.21 feet

• 10.5 feet

• 8.2 feet

Tags

CCSS.HSG.SRT.C.8

In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is the value of the sine of the angle opposite the opposite side?

• 13/5

• 5/13

• 5-13

• 5*13

Tags

CCSS.HSG.SRT.C.6

Sin Θ

• ⁴/₅

• ³/₄

• ⁵/₄

• ³/₅

Tags

CCSS.HSG.SRT.C.6

What is the correct equation to solve for x ?

• tan( 46 ) = ¹⁷/_x

• sin ( 46 ) = ^x/₁₇

• tan (46 ) = ^x/₁₇

• cos (46) = ^x/₁₇

Tags

CCSS.HSG.SRT.C.8

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa
• Soh Cah Toa
• Soh Cah Tao
• Soh Ceh Toa

Tags

CCSS.HSG.SRT.C.6