Download θ° 10.5 ft. 6.5 ft. 8.4 cm θ° 20 cm

Name___________________________________ Date:________________
Per. ____________
Advanced Algebra & Trigonometry Review for Quiz 5.2 Part B
Write an equation and then use your calculator to find the missing angle. Express all angles in degrees and
round to 2 decimal places where necessary.
1.
2.

6.5 ft.
7.3 cm
10.5 ft.

15 cm
3.
4.
20 cm

10.5 ft.
 
13.5 ft.
8.4 cm
5.  is an acute angle and sin is given. Use the
Pythagorean Identity sin 2   cos 2   1 to find
cos .
5
sin  
12
6.  is an acute angle and tan is given. Use the
Pythagorean Identity tan 2   1  sec 2  to find
sec .
1
tan  
2
7. Use the Pythagorean Identities to rewrite the given expressions as a single trigonometric function.
a) cot 2 23  1 
b) 1  sin 2 62 
8.) A 90 foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the floor?
DRAW A FIGURE
A. Write an equation to solve this problem.
_____________________
B. Solve for the angle and round to the nearest degree.
Show all algebraic work.
____________________
9.) A ladder is mounted on a fire truck, six feet above the ground. If the maximum angle to which it can be
raised is 75 degrees, how high up will it reach? (Remember that the ladder doesn’t start on the ground.)
A. Write an equation to solve this problem.
_____________________
B. Solve for the height and round to 2 decimal places.
Show all algebraic work.
____________________ The ladder can reach __________ft.
10.) The Sonar on a destroyer ship detects a submarine at a depth of 200m. If the angle of depression is
31 degrees, how far apart are the two vessels?
A. Write an equation to solve this problem.
31°
_____________________
B. Solve for the distance and round to 2 decimal places.
Show all algebraic work.
____________________