Applying Trig Functions

In a right triangle, if you are given the two sides that are not the hypotenuse, which trig function do you use without using the Pythagorean Theorem?

• sine

• cosine

• tangent

• secant

If α and β are complementary angles, why is sin α = cos β?

• Because they add up to 180°

• The adjacent leg to β is the opposite leg to α.

• Because α = β.

• Because α and β are greek letters.

Tags

CCSS.HSG.SRT.C.7

What trig operation will be used to solve for x?

• cotangent

• tan^-1

• cos^-1

• sin^-1

Tags

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

When solving for the angle, what trig operations might we use? Select all that apply

• inverse trig functions

• sin^-1, cos^-1, tan^-1

• csc, sec, cot

• reciprocal trig functions

The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees. The helicopter’s altitude is 1560 ft. What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.

• 5048 ft

• 507 ft

• 4801 ft

• 1640 ft

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

• 15 feet

• 44 feet

• 39 feet

• 81 feet

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees

• 20 degrees

• 70 degrees

• 71 degrees

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.3 m

• 28.9 m

• 6.1 m

• 0.03 m

Tags

CCSS.HSG.SRT.C.8

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. What is the angle of depression? (HINT- NOT x)

Round your answer to the nearest degree.

• 19 degrees

• 70 degrees

• 71 degrees

• 20 degrees

A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

• 1410.6 ft

• 1389.2 ft

• 45370 ft

• 7878.5