Transcript MA.912.T.2.1

MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
Maricela is flying a kite and has let out all
500 feet of string, which makes a 40° angle
with the ground, as shown in the figure.
Assuming that there is no sag in the string,
which of the equations could be used to
calculate the height h of the kite?
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
Jackie is standing on the edge of a 200-foot
cliff looking down at her friends on a small
sailboat in the ocean. She has determined
that the angle of depression from her
vantage point to the boat is 42°, as shown
in the figure below. What is the distance
from the boat to the base of the cliff
directly below Jackie, to the nearest foot?
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
A.
B.
C.
D.
27
63
60
30
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
A cell phone tower is 300 feet tall and is surrounded by a fence that is 100 feet from
the base of the tower. Alex is trying to reach the fence and is located at a point on
level ground where his line of sight to the top of the tower makes a 20° angle with
the ground, as shown in the figure. What is the straight-line distance that Alex has to
walk to the nearest foot.
A.
B.
C.
D.
725
825
724
824
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
A cliff that is 90 feet high has a beach at its base that is approximately 50 feet wide.
Sarah is on a boat in the ocean and wants to determine the distance from her boat
to the water's edge of the beach, as shown in the figure. The angle of elevation
from Sarah's boat to the top of the cliff is 17°. What is the distance from Sarah's
boat to the water's edge just below the cliff to the nearest foot?
A.
B.
C.
D.
194
204
294
244
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
Barry (B) is standing at the edge of the top of a 50 foot building and is looking
down at his friend Eric (E) who is standing at the edge of the top of a 20 foot
building, as shown in the figure. If the angle of depression from Barry to Eric is
38°, which of the following best represents the distance d between the two
buildings correct to the nearest foot?
A. 23 feet
B. 38 feet
C. 49 feet
D. 64 feet
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
Henry is flying a kite and has let out all 400 feet of string. The string makes a 50°
angle with the ground, as shown in the figure. Assuming that there is no sag in the
string, which of the equations could be used to calculate the height h of the kite?
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.
A tackle shop and restaurant are located on the shore of a
lake and are 32 meters (m) apart. A boat on the lake
heading toward the tackle shop is a distance of 77 meters
from the tackle shop. This situation is shown in the diagram,
where point T represents the location of the tackle shop,
point R represents the location of the restaurant, and point
B represents the location of the boat.
The driver of the boat wants to change direction to sail
toward the restaurant. Which of the following is closest
to the value of x?
A. 23
B. 25
C. 65
D. 67
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent) in terms of
angles of right triangles.