Trig word problems
Trig Ratios
Trig finding the missing side
Trig find the missing Angle
Special Right Triangles
100

A ladder leaning against the wall makes an angle of 74 degrees with the ground. If the foot of the ladder is 6.5 feet from the wall, how high on the wall is the ladder? (Round to the nearest tenth.)

What is 22.7?

100

The trig ratio used when given the adjacent and hypotenuse lengths.

What is cosine?

100

Find the missing hypotenuse length given side lengths 9 and 12. (Round to the nearest tenth.)

What is 15?

100

Find the missing angle in a triangle given measurements 3 for the opposite side and 100 for the hypotenuse. (Round to the nearest whole number.)

What is 2?

100

The angle measurement that is missing when the given angle measurements are 45 and 90 degrees.

What is 45 degrees?

200

A boy flying a kite lets out 300 feet of string which makes an angle of 38 degrees with the ground. Assuming that the string is straight, how high above the ground is the kite? (Round to the nearest tenth.)

What is 184.7?

200

The trig ratio used when given the opposite and adjacent lengths.

What is tangent?

200

Find the missing hypotenuse length given the angle 72 degrees and adjacent side length of 6. (Round to the nearest tenth.)

What is 19.4?

200

Find the missing angle in a triangle given measurements 20 for the opposite side and 90 for the adjacent side. (Round to the nearest whole number.)

What is 13?

200

The missing angle measurement when the given angle measurements are 60 and 90 degrees.

What is 30 degrees?

300

An airplane climbs at an angle of 11 degrees with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet? (Round to the nearest tenth.)

What is 2057.8?

300

The sine of a triangle with angle A and opposite side length 4 and hypotenuse length 20. (Round to the nearest tenth)

What is 0.2?

300

Find the missing side length given an angle of 52 degrees and the adjacent side length of 12.5. (Round to the nearest whole number)

What is 16?

300

Find the missing angle in a triangle given measurements 4 for the adjacent side and 12 for the hypotenuse. (Round to the nearest whole number.)

What is 71?

300

How do you find the hypotenuse in a 45-45-90 triangle.

What is the leg times the square root of 2?

400

In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a road which leads to the top. Find the angle of elevation of the road. (Round to the nearest whole number.)

What is 7?

400

The tangent of a triangle with angle Z and adjacent side length 15 and opposite side length 10. (Round to the tenths place)

What is 0.7?

400

Find the missing opposite side length given an angle of 53 degrees and a hypotenuse of length 2.5 (Round to the nearest whole number.)

What is 2?

400

Find the missing angle in a triangle given measurements 300 for the opposite side and 200 for the adjacent. (Round to the nearest whole number.)

What is 56?

400

In a right triangle ABC, angle C is a right angle and the measure of angle A is 30 degrees. If AB=20, find BC and AC.

What is BC=10 and AC=10 square root of 3?

500

A ladder leans against a building. The top of the ladder reaches a point on the building which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle which the ladder makes with the level ground. (Round to the nearest whole number.)

What is 69?

500

The cosine of a triangle with angle A and opposite side length 5 and hypotenuse length 13.

What is 0.9?

500

Find the missing adjacent side length given an angle of 41 degrees and a opposite side length of 7.(Round to the nearest whole number.)

What is 8?

500

In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a road which leads to the top. Find the angle of elevation of the road. (Round to the nearest whole number.)

What is 7?

500

In a right triangle ABC, angle C is a right triangle and angle A=45 degrees. If AC=4, find BC and AC.

What is BC=4 and AC=4 square root of 2?

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