Question 1 Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)
A right triangle is shown with one leg measuring 8 and another leg measuring 15. An angle across from the leg measuring 8 is marked x degrees.
Answer for Blank 1:
52.02
Question 2(Multiple Choice Worth 4 points)
(05.03 HC)
Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. If the distance from balloon A to the ground is 1,000 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled Ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line Ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line Ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.
999 feet
1,005 feet
1,052 feet
1,102 feet
Question 3(Multiple Choice Worth 4 points)
(05.02 LC)
The picture below shows a right-triangle-shaped charging stand for a gaming system:
The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees, and the measure of angle ABC is 55 degrees. The height of the stand is 7 inches.
Which expression shows the length, BC, of the base of the stand?
7 over tan 55 degrees
7(cos 55°)
7 over sin 55 degrees
7(tan 55°)
Question 4(Multiple Choice Worth 4 points)
(05.02 MC)
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 33.69°, and Emir is 10 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot.
15 feet
18 feet
20 feet
24 feet
Question 5(Multiple Choice Worth 4 points)
(05.01 MC)
Look at the figure below:
an image of a right triangle is shown with an angle labeled y
If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b
cos y° = 6a
cos y° = 6b
cos y° = b divided by 6
Question 6(Multiple Choice Worth 4 points)
(05.03 MC)
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40°. Building A is 120 feet away, and building B is 60 feet away. Which building is taller and by approximately how many feet?
Building A; it is around 100.69 feet taller than building B
Building A; it is around 50.34 feet taller than building B
Building B; it is around 100.69 feet taller than building A
Building B; it is around 50.34 feet taller than building A
Question 7(Multiple Choice Worth 4 points)
(05.02 MC)
If cos f° = four ninths and the measure of segment XW is 16 units, what is the measure of segment XY?
triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees
16 units
27 units
30 units
36 units
Question 8(Multiple Choice Worth 4 points)
(05.02 LC)
Which equation is correct?
cos x° = adjacent ÷ opposite
tan x° = opposite ÷ adjacent
cos x° = opposite ÷ adjacent
tan x° = adjacent ÷ opposite
Question 9(Multiple Choice Worth 4 points)
(05.03 LC)
The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.
cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)
Question 10(Multiple Choice Worth 4 points)
(05.02 LC)
Look at the figure below:
an image of a right triangle is shown with an angle labeled y
If sin y° = a over 6 and tan y° = a over b, what is the value of sec y°?
sec y° = b over 6
sec y° = 6a
sec y° = 6b
sec y° = 6 over b
Question 11 (Fill-In-The-Blank Worth 4 points)
(05.02 MC)
Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)
A right triangle is shown with one leg measuring 4, and the hypotenuse is labeled 20. An angle across from the leg measuring 4 is marked y degrees.
Answer for Blank 1:
Question 12(Multiple Choice Worth 4 points)
(05.01 LC)
The figure below shows a right triangle:
A right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units. The angle between the legs having lengths p units and q units is y degrees. The angle between the legs having lengths r units and q units is x degrees.
What is r ÷ q equal to?
tan y°
sin x°
sin y°
tan x°
Question 13(Multiple Choice Worth 4 points)