Download AW Math 11 Unit: Trigonometry sample questions

AW Math 11 Unit: Trigonometry sample questions.
Key
1) The diagram below shows right triangle UPC.
Which ratio represents the sine of ∠U?
2) In the accompanying diagram of right triangle ABC,
AB = 8, BC = 15, AC = 17, and ∠ABC = 90. What is tan ∠C?
3) The center pole of a tent is 8 feet long, and a side of the tent is 12 feet long as shown in the
diagram below.
If a right angle is formed where the center pole
meets the ground, what is the measure of angle A to
the nearest degree?
a) 56º
c) 48º
b) 42º
d) 34º
4) Cassandra is calculating the measure of angle A in right triangle ABC, as shown in the
accompanying diagram. She knows the lengths of AB and BC,
If she finds the measure of angle A by solving only one equation,
which concept will be used in her calculations?
a) Pythagorean theorem
b) sinA
c) cosA
d) tanA
5) A person standing on level ground is 2,000 feet away from the foot of a 420-foot-tall building,
as shown in the accompanying diagram. To the nearest degree, what is the value of x?
a) x ≈ 10º
b) x ≈ 12º
c) x ≈ 14º
d) x ≈ 16º
6) If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the Sun
to the nearest degree?
a) 29º
b) 41º
c) 50º
d) 61º
7) In the accompanying diagram, the base of a 15-foot ladder rests on the ground 4 feet from a 6foot fence. If the ladder touches the top of the fence and the side of a building, determine how
far the top of the ladder reaches up the side of the building, to the nearest foot.
a) h ≈ 10 ft
b) h ≈ 11 ft
c) h ≈ 12 ft
d) h ≈ 14 ft
8) A hot-air balloon is tied to the ground with two taut (straight) ropes, as shown in the diagram
below. One rope is directly under the balloon and makes a right angle with the ground. The
other rope forms an angle of 50º with the ground. Determine the distance, to the nearest foot,
on the ground between the two ropes.
a) d ≈ 59 ft
b) d ≈ 63 ft
c) d ≈ 67 ft
d) d ≈ 71 ft