Download 5-1 Right Triangle Trig STATIONS PRACTICE

Math 2
5-1 Right Triangle Trigonometry STATION 3
Name_________________________
Find the trigonometric ratios and angles for the following right triangles. Use the Pythagorean
Theorem to find the missing side if necessary.
1.
2.
sin A = __________
sin B = __________
cos A = __________
cos B = __________
tan A = __________
tan B = __________
mA  __________
mB  __________
sin A = __________
sin B = __________
cos A = __________
cos B = __________
tan A = __________
tan B = __________
mA  __________
mB  __________
3.
Solve for the length of AC and BC in the triangle ABC.
4.
Solve for the length of AB and the length of AC in the triangle ABC.
Math 2
5-1 Right Triangle Trigonometry STATION 1
Name_________________________
Solve for x in the following right triangles. Note: triangles are NOT to scale.
1.
2.
3.
4.
5.
6.
Math 2
5-1 Right Triangle Trigonometry EXTENSION
Name_________________________
1.
A person on top of a building finds there is a 38 angle of depression to the head of an assistant who
is 1.7 m tall. If the assistant is 10 meters from the building, approximately how tall is the building?
(answer to the nearest thousandth of a meter)
2.
Two people are standing on the opposite sides of a 20-foot flagpole. The angle of elevation to the
top of the flagpole for one person is 25 . For the other person, the angle of elevation is 20 . The
person on the left is 5.5 feet tall. The person on the left is 5.75 feet tall. How far apart are the two
people?
Math 2
5-1 Right Triangle Trigonometry STATION 4
1.
B
Solve for x.
Name_________________________
2.
x
Solve for 
B

13 in
C
40
A
15 in
10ft
In the drawing below, PS is the height of a mountain.
3.
How tall is the mountain?
4.
What is the measure of PQS ?
A
C
Math 2
5-1 Right Triangle Trigonometry STATION 2
Name_________________________
REVIEW ANSWERS TO YESTERDAYS HOMEWORK! If you did not do yesterday’s homework,
work on it during station 2. If you completed the homework and checked the answers, work on the
below problems.
Solve for the missing side or angle. If necessary, round to one decimal place. Answers are below.
1.
2.
3.
4.
5.
6.
1) 2.02
2) 0.74
3) 498
4) 48.2 degrees
5) 50.5 degrees
6) 38.2 degrees