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WorksheetsApplying Trig Functions
Total questions: 14
Worksheet time: 32mins
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.
What trig operation will be used to solve for x?
cotangent
tan-1
cos-1
sin-1
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
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
A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
39.6 ft
6.0 ft
14.8 ft
14.8 in
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
21 ft
15 ft
26 ft
30 ft
The angles of depression and elevation are:
angles
equal (congruent)
formed by perpendicular lines
alternate corresponding angles
