Unit 1
Unit 2
Unit 3
Unit 1, 2, or 3
100
cot(pi)
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100
A painter places a 20-foot ladder on level ground against a house. The foot of the ladder is 8 feet from the base of the house. What angle does the ladder make with the ground? Round your answer to the nearest tenth.
66.4°
100
In ΔJKL, j = 1.7 inches, ∠J=120° and ∠K=47°. Find the length of k, to the nearest 10th of an inch.
1.4
100
tan(-(5pi)/4)
-1
200
sec((5pi)/6)
(-2sqrt3)/3
200
sqrt3cot(x)+3=0
(5pi)/6,(11pi)/6
200
In ΔQRS, s = 5.5 inches, r = 6.6 inches and ∠R=49°. Find all possible values of ∠S, to the nearest 10th of a degree.
39 degrees
200
In ΔKLM, k = 56 inches, m = 51 inches and ∠M=28°. Find all possible values of ∠K, to the nearest degree.
31 degrees and 149 degrees
300
Given
csc(A)=(37)/(12)
and that angle A is in Quadrant I, find the exact value of sec(A) in simplest radical form using a rational denominator.
37/35
300
A bird flies from the top of a 42-foot utility pole on a straight course to the top of a post 10 feet above the ground. If the bird flies 53.2 feet the top of one pole to the other, what is the angle of depression? Round your answer to the nearest degree.
37°
300
In ΔOPQ, o = 4.4 inches, p = 9.6 inches and ∠Q=89°. Find the length of q, to the nearest 10th of an inch.
10.5
300
6sin^2(x)-6=0
pi/2,(3pi)/2
400
Given
cos(A)=5/sqrt29
and that angle A is in Quadrant I, find the exact value of tan(A) in simplest radical form using a rational denominator.
2/5
400
6tan(3pix)=sqrt12
1/18,7/18
400
In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree.
57 degrees
400
A pilot maintains an altitude of 30,000 feet over level ground. The pilot observes a crater on the ground at an angle of depression of 9° . If the plane continues for 14 more miles, what will be the angle of depression to the crater? Round your answer to the nearest hundredth.
14.57°
500
The point P=
(-1/6,y)
lies on the unit circle shown below. What is the value of y in simplest form?
sqrt35/6
500
After flying at an altitude of 480 meters, a helicopter starts to descend when its ground distance is 5.7 kilometers from the landing pad. What is the angle of depression at this moment of the flight? Round your answer to the nearest tenth.
4.8°
500
In ΔMNO, o = 51 inches, m = 54 inches and ∠N=48°. Find the area of ΔMNO, to the nearest square inch.
1023
500
A person standing on a 18-foot patio is overlooking his back yard. His eye level is 6 feet above the floor of the patio. He observes a squirrel 40 yards from his eyes. At what angle of depression is he observing the squirrel? Round your answer to the nearest hundredth.
NOTE: 1 yard = 3 feet
11.54°