Review for Quiz 2-(4-5)
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the right triangle.
1) a = 1.6 in., A = 55.5°, C = 90°
Round values to one decimal place.
1)
2) A = 67° 41 , c = 281 m , C = 90°
Round side lengths to two decimal places, if necessary.
Solve the problem.
3) A conservation officer needs to know the width of a river in order to set instruments
correctly for a study of pollutants in the river. From point A, the conservation officer walks
90 feet downstream and sights point B on the opposite bank to determine that = 60° (see
figure). How wide is the river (round to the nearest foot)?
2)
3)
= 60°
90 ft.
4) Find h as indicated in the figure. Round to the nearest foot.
25.4°
53.3°
167 ft
1
4)
5) A 5.8-ft fence is 11.582 ft away from a plant in the direction of the sun. It is observed that
the shadow of the fence extends exactly to the bottom of the plant. (See drawing) Find ,
the angle of elevation of the sun at that time. Round the measure of the angle to the
nearest tenth of a degree when necessary.
5)
5.8 ft
11.582 ft
6) An airplane travels at 190 km/h for 3 hr in a direction of 320° from Greenville. At the end
of this time, how far west of Greenville is the plane (to the nearest kilometer)?
6)
7) From a balloon 709 feet high, the angle of depression to the ranger headquarters is 58°46'.
How far is the headquarters from a point on the ground directly below the balloon (to the
nearest foot)?
7)
8) From a boat on the lake, the angle of elevation to the top of a cliff is 14°53'. If the base of the
cliff is 1655 feet from the boat, how high is the cliff (to the nearest foot)?
8)
9) To measure the width of a river, a surveyor starts at point A on one bank and walks 70 feet
down the river to point B. He then measures the angle ABC to be 21°34'11''. Estimate the
width of the river to the nearest foot. See the figure below.
C
9)
A
70 ft
B
10) Radio direction finders are set up at points A and B, 8.68 mi apart on an east-west line.
From A it is found that the bearing of a signal from a transmitter is N 54.3°E, while from B
it is N 35.7°W. Find the distance of the transmitter from B, to the nearest hundredth of a
mile.
2
10)
Solve the right triangle. If two sides are given, give angles in degrees and minutes.
11)
11)
A = 19° 34 , c = 257 ft
Round side lengths to two decimal places.
12)
12)
A = 43.4°, b = 3.7 m
Round side lengths to one decimal place.
3
Answer Key
Testname: DC TRIG QUIZ 2-(4-5)-REVIEW
1) b = 1.1 in., B = 34.5°, c = 1.9 in.
2) B = 22° 19 , a = 259.95 m, b = 106.7 m
3) 156 ft
4) 123 ft
5) = 26.6°
6) 366 km
7) 430 ft
8) 440 ft
9) 28 ft
10) 5.07 mi
11) B = 70° 26 ; a = 86.07 ft; b = 242.16 ft
12) B = 46.6°; a = 3.5 m; c = 5.1 m
4