Assessment 4.8
Markus H., Pat J., Jared H.
1) A guy wire connects the top of an antenna to a point on level ground 5 ft from the base of the
antenna. The angle of elevation formed by this wire is 80˚. What are the length of the wire and the
height of the antenna?
a. 28.79ft/28.36ft
b. 31.82ft/74.62ft
c. 79.81ft/36.28ft
d. 10.23ft/87.34ft
2) The angle of elevation of the top of the TV antenna mounted on top of the Eiffel Tower in Paris is
measured to be 80˚1'12" at a point 185 ft from the base of the tower. How tall is the tower plus TV
antenna?
a. 5310ft
b. 3246ft
c. 1051ft
d. 2345ft
3) To measure the height of a cloud, you place a bright searchlight directly below the cloud and shine
the beam straight up. From a point 100 ft away from the searchlight, you measure the angle of
elevation of the cloud to be 83˚12'. How high is the cloud?
a. 982ft
b. 896ft
c.234ft
d. 839ft
4) A guy wire attached to the top of the KSAM radio antenna is anchored at a point on the ground 10 m
from the antenna's base. If the wire makes an angle of 55˚ with level ground, how high is the KSAM
antenna?
a. 8.23ft
b.14.3ft
c. 890.3ft
d. 8.32ft
Assessment 4.8
Markus H., Pat J., Jared H.
5) The angle of elevation from an observer to the bottom edge of the Delaware River drawbridge
observation deck located 200 ft from the observer is 30˚. The angle of elevation from the observer
to the top of the observation deck is 40˚. What is the height of the observation deck?
a. 87.23ft
b. 23.54ft
c. 52.35 ft
d. 34.67ft
6) The Coast Guard cutter Angelica travels at 30 knots from its home port of Corpus Christi on a course
of 95 degrees for 2 hours and then changes to a course of 185 for 2 hr. Find the distance and the
bearing from the Corpus Christi port to the boat.
a.84.85 ft/140 degrees
b.27.48 ft/110 degrees
c.94.15 ft/130 degrees
d.75.43 ft/120 degrees
7) The angle of depression is 19 degrees from a point 7526 ft above sea level on the north rim of the
Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at
that point?
a.4126 ft
b.7418 ft
c.6751 ft
d.3186 ft
8) The bearing of the line of sight to the east end of the Royal Gorge footbridge from a point 325 ft due
north of the west end of the footbridge across the Royal Gorge is 117 degrees. What is the length l
of the bridge?
a.481 ft
b.638 ft
c.518 ft
d.753 ft
9) A barn roof has a 17 degrees angle of elevation and is 73 feet across. What is the height of the
vertical enter span?
a.8.7 ft
b.10.4 ft
c.9.8 ft
d.6.5 ft
Assessment 4.8
Markus H., Pat J., Jared H.
10) A shoreline runs north-south, and a boat is due east of the shoreline. The bearings of the boat from
two points on the shore are 110 degrees and 100 degrees. Assume the two points are 550 ft apart.
How far is the boat from the shore?
a.2931 ft
b.1874 ft
c.3005 ft
d.4347 ft