Find the cos 39. Round to the nearest ten-thousandth.
0.7771
100
A doctor is using a treadmill to assess the strength of a patient's heart. At the beginning of the exam, the 48-inch long treadmill is set at an incline of 10 degrees. How far off the horizontal is the raised end of the treadmill at the beginning of the exam? Round to the nearest tenth.
8.3 in
100
Find the area of the figure. Round to the nearest tenth. Refer to picture 7.
35.7 ft squared
200
These two triangles are the special right triangles.
45-45-90
30-60-90
200
What is the pattern for the 30-60-90 triangle?
Short leg is n
Long leg is n sqrt(3)
Hypotenuse is 2n
200
Find the measure of each angle to the nearest tenth of a degree.
cos C=0.2493
C=75.6 degrees
200
A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 feet lower than the green and the angle of elevation from the tree to the hole is 12 degrees, find the distance from the tee to the hole. Round to the nearest foot.
173 ft
200
Find the area of the figure. Round to the nearest tenth. Refer to picture 8.
1200 ft squared
300
The side of a triangle across from the 90 degree angle
Hypotenuse
300
Refer to picture 1. Find x and y.
x=3
y=3 sqrt(2) or 4.2
300
Find x. Round to the nearest tenth. Refer to picture 4.
x=8.5
300
A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run. Round to the nearest tenth.
5.3 degrees
300
Find the length of each side of the triangle for the given perimeter. Refer to picture 9.
P=84m
21m, 28m, 35m
400
What are the three trigonometric ratios we learned about?
Sine, cosine, tangent
400
Refer to picture 2. Find x and y.
x=8 sqrt(3) or 13.9
y=16
400
Find x. Round to the nearest tenth. Refer to picture 5.
x=53.2
400
After flying at an altitude of 500 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kilometers. What is the angle of depression for this part of the flight? Round to the nearest tenth.
2.6 degrees
400
Find the perimeter and area of the triangle.
A(-3, -5)
B(2, -5)
C(-3, -1)
P=15.4 units
A= 10 units squared
500
When an observer looks horizontal then down at an object
Angle of depression
500
Refer to picture 3. Find x and y.
x=2 sqrt(3) or 3.5
y=4 sqrt(3) or 6.9
500
Find x. Round to the nearest tenth. Refer to picture 6.
x=44.9
500
Two boats are observed by a pairasailer 75 meters above a lake. The angles of depression are 12.5 degrees and 7 degrees. How far apart are the boats? Round to the nearest meter.
273 m
500
Find the perimeter and area of the triangle.
A(-3,1)
B(1,3)
C(3,-2)