Download Name: Period: _____ Pre-AP Pre-Calculus S.A. #1

Name: _______________________
Period: _____
Pre-AP Pre-Calculus
S.A. #1 - Right Triangle Trigonometry REVIEW
Complete this review on notebook paper.
Find the values of all six trigonometric functions of  from the information given.
7
1. tan  
3
12
2. csc  
5
Use trigonometric ratios to solve the following problems.
3.
4.
5.
6.
Draw and label a figure
Show complete work
Give a calculator ready equation
Round answers to thousandths
In DEF , D  90 , F  62 and f  4.3 . Find d.
In JKL , J  90 , L  47 and k  12 . Solve the triangle.
In JKL , J  90 , l  6.2 and k  11.5 . Solve the triangle.
From a point 300 meters from the base of a tree, the angle of elevation of the sun is 24 . How tall
is the tree?
7. A 15 foot ladder is leaning up against a building. The angle of elevation of the ladder is 71 .
How far is the base of the ladder from the base of the building?
8. A man is lying on his back, flying a kite. While holding the end of the kite string at ground level,
he uses a clinometer to measure the angle of elevation at 51.23 . If the string is 375 feet long,
how high is the kite above the ground?
9. If a tree is 75 feet tall, what is the angle of elevation to the top of the tree from a point 215 feet
from the base of the tree?
10. A boat is 325 feet away from a cliff that is 200 feet high. A person is standing at the edge of the
cliff and uses a clinometer measure the angle of depression to the boat. What measurement does
he find?
11. A helicopter is hovering 2100 feet directly above a straight highway. Two motorists are driving
cars on the road below him. If both cars are on the same side of the helicopter and the angles of
depression to the cars are 29 and 54 , how far apart are the cars?
12. Alex and Brian are on Flagpole Hill, 30 feet apart on the same side of a flagpole, looking up at the
flagpole. The angle of elevation from Brian to the top of the flagpole is 52.9 , and from Alex it is
38.5 How tall is the flagpole.
**Also make sure you have completed pg. 486 #46-60**
Answers:
7
4
3
cos  
4
7
tan  
3
sin  
1.
4 7
3
4
sec  
3
3 7
cot  
7
csc  
2.
5
12
119
cos  
12
5 119
tan  
119
sin  
12
5
12 119
sec  
119
119
cot  
5
3. d  4.870
K  43
4.
j  17.595
l  12.868
K  61.670
5.
j  13.065
L  28.330
6. x  133.569 meters
7. x  4.884 feet
8. x  292.375 feet
9. 19.231
10. 31.608
11. 2262.761 feet
12. 59.895 feet
csc  