Use common trigonometric identities for the functions given to find the indicated trigonometric functions.

MTH212

Unit 5 Individual Project - A

1. The following chart shows some common angles with their degrees and
radian measures. Fill in the missing blanks by using the conversions
between radians and degrees to find your solutions. Show all work to
receive full credit.



Work shown here:



angle with the base of the home, what is the length of the house from
ground level to the peak of the roof? Round final answer to the nearest
foot.



3. Use common trigonometric identities for the functions given to find
the indicated trigonometric functions. (Hint: Remember the reciprocal
properties of sine, cosine, and tangent.) Show all work to receive full
credit.

, what are the values of

=



=

=

, what are the values of

=



=

=



4. Solve the following application problem. Show all work to receive
full credit.

. If, at this point, he is 15 feet from the building, what is the
height of the building?

Draw a picture, show all work, and find the solution. Round to the
nearest hundredths.



. If the two buildings are 50 feet apart, how tall is the taller
building? See the following figure. Round to the nearest hundredths.

6. A weather balloon B lies directly over a 1500-meter airstrip
extending from A to C.

(Larson, Hostetler, Edwards, 2005).



Find the distances from A to B and from C to B. Show all work to
receive full credit. Round to the nearest hundredths.

Reference

Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a
graphing approach (4th ed.). Boston: Houghton Mifflin.

34o

59o

1500

B

C

A

33o

25o

50 ft

45o

45o

15 ft

(