CH. 7 TEST – MULTIPLE CHOICE
FORM A
1) A building 270 feet tall casts a 90 foot long shadow. If a person stands at the end
of the shadow and looks up to the top of the building, what is the angle of the
person’s eyes to the top of the building (to the nearest hundredth of a degree)?
(Assume the person’s eyes are 6 feet above the ground.)
a) 71.18°
b) 71.57°
c) 70.07°
d) 19.93°
2) A straight trail with a uniform inclination of 15° leads from a lodge at an elevation
of 1000 feet to a mountain lake at an elevation of 7800 feet. What is the length of
the trail (to the nearest foot.)?
a) 26,273 feet
b) 30,137 feet
c) 7040 feet
d) 8075 feet
3) An airplane is sighted at the same time by two ground observers who are 2 miles
apart and in line with the airplane. They report the angles of elevation as 10° and
22°. How high is the airplane?
a) 0.63 miles
b) 0.35 miles
c) 1.35 miles
d) 0.75 miles.
4) In flying the 84 miles from Champaign to Peoria, a student pilot sets a heading
that is 12° off course and maintains an average speed of 136 miles per hour. After
15 minutes, the instructor notices the course error and tells the student to correct
his heading. Through what angle will the plane move to correct the heading and
how many miles away is Peoria when the plane turns?
a) 19.9°; 51.23 miles
b) 160.1°; 51.23 miles
c) 19.9°; 73.61 miles
d) 160.1°; 73.61 miles
5) The distance from home plate to dead center field in Sun Devil Stadium is 404
feet. A baseball diamond is a square with a distance from home plate to first base of
90 feet. How far is it from first base to dead center field?
a) 346.3 feet
b) 381.6 feet
c) 471.9 feet
d) 329.2 feet
6) Given a triangle with a = 9, b = 11, 𝛼 = 31°, what is (are) the possible length(s) of
c? Round your answer to two decimal places.
a) c = 16.42 or 3.41
b) c = 6.61
c) c = 16.42 or 2.44
d) 14.21
7) Solve the triangle given that a = 19, b = 16, c = 11.
a) 𝛼 = 87.39°, 𝛽 = 35.33°, 𝛾 = 57.27°
b) 𝛼 = 87.39°, 𝛽 = 57.27°, 𝛾 = 35.33°
c) 𝛼 = 57.27°, 𝛽 = 87.39°, 𝛾 = 35.33°
d) 𝛼 = 35.33°, 𝛽 = 57.27°, 𝛾 = 87.39°
7) A radio transmission tower is 130 feet tall. How long should a guy wire be if it is
to be attached 5 feet from the top and is to make an angle of 27° with the ground?
Give your answer to the nearest tenth of a foot.
a) 275.3 feet
b) 286.3 feet
c) 140.3 feet
d) 145.9 feet.
SHORT ANSWER
8) An airplane flying at 300 miles per hour has a bearing of N 40° W. After flying for
3 hours, the plane takes a 40° turn toward the north from his previous course. The
plane stays on that course for 1 hour at the same speed. At what bearing should the
airport use to contact the airplane to inform them that they need to change course
again? Construct a diagram of this problem.
9) A highway whose primary directions are north-south is being constructed along
PCH in Laguna. To avoid building a bridge the road is built around the bay.
a) What is the length of highway needed to go around the bay?
b) If the cost of constructing the road is $1200 per mile, how much will the
project cost?
10) Mr. Peacock is about to battle the Human Torch with a fire extinguisher. He is
4ft. from the Human Torch before he is about to try and extinguish him. Mr. Peacock
is 6 feet tall and the Human Torch is 7 feet tall. If Mr. Peacock holds the fire
extinguisher 5 feet above the ground and the extinguisher produces a spray at an
angle of 25° to the horizontal, how far does Mr. Peacock need to move back to fully
extinguish the Human Torch?