Advanced Algebra with Trigonometry



Advanced Algebra with Trigonometry NAME ____________________

Ch 5: “Trigonometric Functions” DATE __________ PER _____

“Solving Right Triangles”

To Solve a Triangle: to find the measure of all the angles and sides of the triangle

EX1] Solve right triangle ABC, if [pic] and [pic] in.

EX2] Solve right triangle ABC, if [pic] cm and [pic] cm.

EX3] The length of the shadow of a building 34.09 meters tall is 37.62 meters.

Find the angle of elevation of the sun.

Advanced Algebra with Trigonometry NAME ____________________

Ch 5: “Trigonometric Functions” DATE __________ PER _____

“Solving Right Triangles”

#1-4 Label and solve each right triangle. Show all work to earn credit.

1)

2)

3)

4)

#5-10 Solve each of the following. Label triangles and show work for each to earn credit.

5) Find the angle of elevation of the sun if a 48.6 foot flagpole casts a shadow of 63.1 feet.

6) The shadow of a vertical tower is 40.6 m long when the angle of elevation of the sun is 34.6°.

Find the height of the tower.

7) The angle of the depression from the top of a building to a point on the ground is [pic].

How far is the point on the ground from the top of the building if the building is 252 m high?

8) At ground level, the measurement of the angle of elevation of a kite is [pic]. It is held by a

string 65 meters long. How far is the kite above the ground?

9) The Washington Monument is 169.29 m tall and, at a particular time, casts a shadow 201.23 m long.

Find the approximate angle of elevation of the sun at that time.

10) To find the distance RS across a lake, a surveyor lays off [pic] m, with angle [pic]

and angle [pic]. Find length RS.

-----------------------

b

c

a

B

C

A

B

C

A

A

B

C

964 m

[pic]

[pic]

124 m

F

E

D

Y

[pic]

35.9 km

Q

R

P

X

Z

[pic]

89.6 cm

R

S

T

(Surveyor)

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