Mary is standing 15 feet from the base of a tree.
She sees a bird’s nest in the tree and measures the angle of elevation to the nest at 62˚.
How high, to the nearest foot, is the nest above the ground?
28 feet
100
In Triangle EFG, angle E is 42 degrees and angle F is 61 degrees. Side FG is 127 ft. Find side EG.
What is 166 ft.
100
In triangle STU, side SU is 23, UT is 28 and angle U is 37 degrees. Find the length of side ST.
What is 16.9
100
In triangle ABC angle B is 64 degrees and angle C is 90 degrees. If side BC is 11, what is the length of side AC?
What is 22.55
100
Write the component form of Vector AB (arrow by B)
A(-2, 4) B(3, -4)
What is (5, -8)
200
Bill is standing 30 m. from the base of a building.
The angle of elevation to the top of the building is 35˚.
To the nearest meter, how tall is the building?
21 meters
200
In triangle EFG, side EG is 5.8 ft. Angle G is 83 degrees and angle E is 73. What is the length of side EF?
What is 14.2 ft.
200
In triangle STU, side SU is 40, ST is 12 and angle S is 37 degrees. Find the length of side UT.
What is 31.3
200
In triangle ABC, angle C is 90 degrees. If side BC is 8 and side AC is 14, what is the measure of angle B?
What is 60.3 degrees
200
Find the magnitude of vector t.
t=(6,11)
Round to the nearest tenth.
What is 12.5
300
A 300 m cable is attached to the top of an antenna. The angle of elevation to the top of the antenna is 15 degrees. How high is the antenna to the nearest meter?
78 m
300
In triangle EFG, angle E is 56 degrees, angle G is 34 degrees and side FG is 19.1 cm. Find the length of side EF.
What is 12.9 cm
300
In triangle STU, side SU is 28.4, UT is 14.5 and ST is 21.7. Find angle U.
What is 48
300
In triangle ABC, angle A is 29 degrees and angle C is 90 degrees. If side AB is 29, what is the length of side AC?
What is 25.36
300
Find the magnitude of vector g.
g=(9, -7)
Round to the nearest tenth.
What is 11.4
400
A great white shark swims 22 feet below sea level. If the shark is 67.7 feet away from a sailboat, what is the angle of depression (rounded to the nearest degree) to the shark?
19 degrees
400
Three cities form the vertices of a triangle. The angles of the triangle are 40, 60, and 80 degrees. The two most distant cities are 40 miles apart. How close are the two closest cities?
What is 26.1 miles
400
Two cars start moving from the same location. They head straight, but in different directions. The angle between where they are heading is 43 degrees. The first car travels 20 miles and the second car travels 37 miles. How far apart are the two cars?
What is 26.2 miles
400
In triangle ABC, angle A is 90 degrees. If side AB=25, BC=30, what is the measure of angle B?
What is 33.6 degrees
400
Find the direction of vector m.
m=(2,12)
Round to the nearest tenth.
What is 80.5 degrees.
500
A car is traveling up a slight grade with an angle of elevation of 2 degrees. After traveling 3/4 of a mile, what is the vertical change, in feet, rounded to the nearest foot? ( 1 mile = 5,280 ft )
138 ft
500
The edges of a triangular pillow for the couch measure 8”, 3” and 6”.
What is the measure of the largest angle of the pillow to the nearest degree?
122 degrees
500
A 60 ft ramp rises from the first floor to the second floor of a parking garage. The ramp makes a 15 degree angle with the ground. How high above the first floor is the second floor?
What is 15.52 ft
500
Find the direction of vector f.
f=(-8, -3)
Round to the nearest tenth.