Trig Ratios
Triangle Properties
Right Triangle Problems
Word Problems & Algebra
100

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What is sin 30°?

1/2

100

What is the sum of angles in a triangle?

1800

100

Use SOH-CAH-TOA to find opposite side if hypotenuse = 10 and angle = 30°

5

100

Solve for x:

3:5=x:10

6

200

Find cos 60°

0.5 or 1/2

200

Name a triangle with one angle > 90°

obtuse triangle

200

Find the hypotenuse if one leg is 5 and the other is 12

13

200

If you are standing on a balcony and look down at an object on the ground, and your eyes tilt downward by 30from a straight, level line, what is your angle of depression?

300

300

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Given sin θ = 0.5, what could θ be?

300

300

If one angle is 40° and another is 60°, what’s the third?

80°

300

Find the missing angle if the adjacent is 7 and the hypotenuse is 24.

Approximately 73°

300

A person looks up at a 60angle of elevation toward a building 50 feet away. Calculate the height of the building.

approximately 86.60 ft

400

Calculate tan 45° without a calculator.

1

400

Which side is longest in a triangle with angles 30°, 60°, 90°?

The side opposite 90° (the hypotenuse)

400

Solve for the missing side using the Pythagorean theorem in a right triangle with legs 9 and 12.

15

400

Solve for x:

2x+4=20

8