Right Triangle Trig
Find the Trig Value
Linear/Angular Speed
Angles
Misc
100
From a point 340 feet away from the base of a building, the angle of elevation to the top of the building is 65 degrees. Find the height of the building.
What is 729.132 feet
100
Find sin(theta) when cos(theta) is 5/13 and the terminal side of theta is in the first quadrant.
What is sin(theta) = 12/13
100
Tires rotate at 140 revolutions per minute. Find the angular speed of the tire in radians per minute.
What is 280 pi or 879.646 radians/minute.
100
Find a positive coterminal angle for 5pi/4
What is 13pi/4
100
Change 7pi/8 radians into degree measure.
157.5 degrees
200
The angle of elevation from the far side of a pool to the top of a waterfall is 54 degrees and the distance for line of sight is 230 ft. Find the distance from the far side of the pool to the base of the waterfall.
What is 135.2 ft.
200
If tan (theta) is 1/2, find the exact value of sin(theta) for acute angle theta.
What is sqrt(5)/5
200
A tire with radius 15 in. turns at a rate of 2.5 revolutions per second. Find the linear speed of the tire in inches per second.
What is 75 pi or 235.619 inches per second
200
Find a negative coterminal angle for 29pi/45
What is -61pi/45
200
Find the length of an arc that subtends a central angle of 42 degrees in a circle of radius 8 cm.
What is 5.864 cm.
300

A five foot ladder leans against the wall at a 65 degree angle with the ground. What is the distance from the base of the ladder to the wall?

What is 2.113 feet

300
If csc(theta) = -2 and theta lies in the third quadrant, find sec(theta).
What is -2(sqrt of 3)/3
300
A disc with radius 60 mm begins to rotate at a rate of 3 revolutions per second. Find the disk's linear speed in meters per minute.
What is 67.858 meters per minute
300
Find the reference angle for 7pi/4.
What is pi/4
300

What is the least positive angle measure that is conterminal to -420 degrees?

What is 300 degrees

400

A boat out in the ocean is looking up a tiger sitting on the edge of a vertical cliff 100 yards high with a 30 degree angle of elevation. How far is the boat from the cliff? ANSWERS EXACT ONLY! (No decimals)

100sqrt(3)

400
Let (4,3) be a point on the terminal side of angle theta in standard position. Find the exact values of the six trig functions of theta.
sin(theta) = 3/5 csc(theta) = 5/3 cos(theta) = 4/5 sec(theta) = 5/4 tan(theta) =3/4 cot(theta) = 4/3
400
Each roller under a conveyor belt has a diameter of 1 meter. The roller turns at a rate of 30 revolutions per minute. What is the linear speed of the conveyor belt in mm per second?
What is 500 pi or 1570.796 mm per second
400
Find the reference angle for 5pi/8.
What is 3pi/8.
400
Find the area of a sector with a central angle of 160 degrees and a radius of 5.4 cm. Round the answer to the nearest tenth.
What is 40.7 square centimeters.
500
In a right triangle ABC, a = 7 and b = 12. Angle C is the right angle. Solve the triangle.
A = 30 degrees, B = 60 degrees, c = 13.9
500
In right triangle ABC, angle A is denoted by theta, and the opposite side is 14. The hypotenuse is 16. Find the measure of angle theta.
What is 61 degrees
500
The radius of a car wheel is 13 inches. How many revolutions per minute is the wheel making when the car is traveling 40 mph?
What is 517.131 revolutions per minute
500
Use the reference angle to find the exact value of tan (9pi/4).
What is 1.
500
Find the perimeter of a 20 -degree sector cut from a circular disk of radius 22 inches.
What is 51.679 inches.
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