Labeling sides
Story Problems
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Sin Cos Tan
Sin Cos Tan 2
100
This trigonometric ratio uses the side opposite the marked angle and the side next to the marked angle.
What is tangent.
100
The height of a building is 115 feet. A person standing 33 feet from the building looks up. Find the angle of inclination to the nearest degree.
What is 74°.
100

BONUS ** 2 points on test for correct answer and drawing ** Given △ABC ~ △DEF and cos (∠C) = 3/13, find sin (∠F).

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100
△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Sin A.
What is Sin A = 30/32.5
100
△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Tan A.
What is Tan A = 30/12.5
200
This trigonometric ratio uses the side next to the marked angle and the side opposite the right angle.
What is cosine.
200
Skate boarders want to build a ramp to get over a 5 foot wall. They want the ramp to have an angle of inclination of 30°. Find the length of the ramp.
What is 10 feet.
200

Given △ABC ~ △DEF and cos (∠C) = 3/13, find cos (∠F).

What is 3/13.

200
△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Sin C.
What is Sin C = 12.5/32.5
200
A flagpole is held upright by a 46 m long wire to the ground. If the wire makes an angle of 31° to the ground, determine the height of the flagpole to the nearest meter.
What is 24 m.
300
This trigonometric ratio uses the side opposite the right angle and the side opposite the marked angle.
What is sine.
300

Skateboarders want to build a ramp to get over a 5 foot wall. The ramp is 13 feet long. Find the angle of inclination to the nearest tenth degree.

What is 22.6°.

300

To measure the distance across a pond, a student places a stake on the north side of the pond and another stake on the south side of the pond. This forms a vertical line. The student then places a stake directly east of the north stake to form perpendicular lines. The distance from the north stake to the east stake is 153 feet. The angle formed from the east stake to the south stake is 17°. Find the distance from the north stake to the south stake, round to the nearest tenth. DRAW a picture!

What is 46.8 feet.

300
△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Cos C.
What is Cos C = 30/32.5
300
Two triangles are similar. Describe the relationship between their tangents.
What is their tangents are proportionate. Or they have equal ratios.
400

The side opposite the right angle.

What is the hypotenuse.

400
A 100 ft fire truck ladder is leaning against a wall. Find the distance the ladder goes up the wall if it makes an angle of 43° with the ground. Round to the nearest tenth.
What is 68.2 ft.
400

An airplane takes off from a runway and climbs keeping a constant angle with the ground. The angle of elevation is 27° when the plane has traveled 777 m. Find the ground distance traveled to the nearest meter.

What is 692 m

400

△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Cos A.

What is Cos A = 12.5/32.5

400
Justify that the cos 47 is the same for every right triangle.
What is similar triangles have proportionate sides.
500

The sides that are identified based on the marked angle.

What is opposite and adjacent.

500

A surveyor is standing 42 m from the base of a Redwood tree. She measures the angle of elevation to the top of the tree as 33°. Find the height of the tree to the nearest tenth.

What is 27.3 m.

500

For every right triangle, the sine of 15° = 0.26 (rounded to the nearest hundredth).

What is similar triangles have congruent angles and proportionate sides.

500

△ABC has side lengths 12.5, 32.5, and 30. Draw a picture, label the right angle B. The distance from A to B is 12.5. Find Tan C.

What is Tan C = 12.5/30

500

Sarai shared an acronym she learned in high school to help remember SohCahToa Some Old Hippie Caught Another Hippie Trippin On Acid 2 bonus points on the unit for creative (new) acronyms.

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