Question 1

Determine whether the statement is true or false.
-sin 390° = sin 120° cos 270° + cos 120° sin 270°

Accepted Answer

A) True 
 B)False

Question 2

Solve the problem.
-The angle of elevation from a point on the ground to the top of a tower is 39° 16´. The angle of elevation from a point 114 feet farther back from the tower is 24° 38´. Find the height of the tower.
Round to the nearest foot.

Accepted Answer

A) 130 ft 
B) 115 ft 
C) 119 ft 
D) 1190 ft 
A) 130 ft 
B) 115 ft 
C) 119 ft 
D) 1190 ft

Question 3

Solve the right triangle. If two sides are given, give angles in degrees and minutes.
- 
$B = 65.4834 ^ { \circ } , \mathrm { c } = 3618.6 \mathrm {~m}$
Give side lengths to two decimal places.

Accepted Answer

A)  $\mathrm { A } = 24.5166 ^ { \circ } ; \mathrm { a } = 1501.56 \mathrm {~m} ; \mathrm { b } = 3292.35 \mathrm {~m}$ 
B)  $A = 24.5166 ^ { \circ } ; a = 1416.68 \mathrm {~m} ; \mathrm { b } = 3277.05 \mathrm {~m}$ 
C)  $A = 24.5166 ^ { \circ } ; \mathrm { a } = 1501.56 \mathrm {~m} ; \mathrm { b } = 3246.96 \mathrm {~m}$ 
D)  $\mathrm { A } = 24.5166 ^ { \circ } ; \mathrm { a } = 1560.70 \mathrm {~m} ; \mathrm { b } = 3292.35 \mathrm {~m}$ 
A)  $\mathrm { A } = 24.5166 ^ { \circ } ; \mathrm { a } = 1501.56 \mathrm {~m} ; \mathrm { b } = 3292.35 \mathrm {~m}$ 
B)  $A = 24.5166 ^ { \circ } ; a = 1416.68 \mathrm {~m} ; \mathrm { b } = 3277.05 \mathrm {~m}$ 
C)  $A = 24.5166 ^ { \circ } ; \mathrm { a } = 1501.56 \mathrm {~m} ; \mathrm { b } = 3246.96 \mathrm {~m}$ 
D)  $\mathrm { A } = 24.5166 ^ { \circ } ; \mathrm { a } = 1560.70 \mathrm {~m} ; \mathrm { b } = 3292.35 \mathrm {~m}$

Question 4

Decide whether the statement is true or false.
-sin 59° < cos 59°

Accepted Answer

A) True 
 B)False

Determine whether the statement is true or false. -sin 390° = sin 120° cos 270° + cos 120° sin 270°

Solve the problem. -The angle of elevation from a point on the ground to the top of a tower is 39° 16´. The angle of elevation from a point 114 feet farther back from the tower is 24° 38´. Find the height of the tower. Round to the nearest foot.

Decide whether the statement is true or false. -sin 59° < cos 59°

Trigonometric Functions

Radian Measure and the Unit Circle

Graphs of the Circular Functions

Trigonometric Identities

Inverse Circular Functions and Trigonometric Equations

Applications of Trigonometry and Vectors

Complex Numbers, Polar Equations, and Parametric Equations

Filters

Exam 2: Acute Angles and Right Triangles