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HW SOH CAH TOA

Last updated over 2 years ago
17 questions
1

Match each trig function with its correct ratio.

  • sin(\theta)
  • sec(\theta)
  • csc(\theta)
  • cot(\theta)
  • tan(\theta)
  • cos(\theta)
  • opp/hyp
  • adj/hyp
  • opp/adj
  • hyp/opp
  • hyp/adj
  • adj/opp
1

In the triangle below, sin(\theta)=5/13. Find cos(\theta)=
Write as a fraction.

1

In the triangle below, sin(\theta)=5/13. Find tan(\theta)=
Write as a fraction.

For #4-7 you'll need to solve for an angle (\theta). Remember to use inverse trig functions when solving for an angle:
sin^-1
cos^-1
tan^-1

For example:
1

Round to the nearest whole and put the degree symbol on your answer.

1

Round to the nearest whole and put the degree symbol on your answer.

1

Round to the nearest whole and put the degree symbol on your answer.

1

Round to the nearest whole and put the degree symbol on your answer.

1

To solve for side lengths you don't need to use the inverse (sin^-1) anymore.
Round to the nearest tenth.

1

Round to the nearest tenth.

1

Round to the nearest whole.

1

Round to the nearest tenth.

Optional Video: Explains how to solve "angle of elevation" word problems.

For the following word problems, draw a picture out on paper and label your answer with units!
1

A 20-foot ladder is leaning against a wall. The base of the ladder is 3 ft away from the wall. What angle does the ladder make with the ground?

Round to the nearest whole & put the degree symbol on your answer!

1


Round to the nearest tenth & include units. Be sure to to account for the person's height!

1

Joey is flying a kite using 300 feet of string. His hand, 4 ft above the ground, holds the spool of string. The kite line has an angle of elevation of 29°. How high above the ground is the kite flying?

Round to the nearest tenth & include units. Be sure to account for the height of Joey's hand!

Optional Video: Explains how to solve "angle of depression" word problems.
1


Round to the nearest whole & put the degree symbol on your answer

1

A bow hunter is perched in a tree 15 feet off the ground. If he looks down at an angle of depression of 30 degrees he sees his prey. How far will the arrow have to travel to hit it?

Include units on your answer.

1


Round to the nearest whole & put the degree symbol on your answer!