- Hobbies Suppose you are flying a kite. The kite string is 60 m long, a n d th e angle
of elevation of th e string is 65° from your h and. Your h a n d is 1 m above th e ground.
How high above th e g round is th e kite?
Challenge 45. At a certain p o in t in a large, level park, the angle of elevation to th e top of an office
building is 30°. If you move 400 ft closer to th e building, th e angle of elevation is
45°. To th e n ea rest 10 ft, how tall is th e building?- A line passes through th e origin of a coordinate p lan e an d form s a 14° angle with
the positive x-axis. W hat is th e slope of th e line? R ound to th e n ea rest h u n d re d th. - Reasoning Use th e definitions of sine, cosine, an d tan g en t to simplify
each expression.
a. cos A • tan A b. sin Ah- tan A c. sin A + cos A
St a n d a r d i ze d Test Pr ep
^AT/ACT 2bShort
: R e s p o n s e
- W hat is th e value of b in the p ro p o rtio n ^ 2.
CD 3 CD 12
CD 6 C D 28 - The profits of a large corporation can be g raphed as a line th at passes through
( - 3 , 6 ) an d (4, - 1 ). W hich eq u a tio n rep resen ts the line?
CD y = 3 - x CD y = — 3 x + 1
CD y = 3x + 1 C D y = x + 3 - W hich expression is equivalent to 3 V l 2 + 2 V 3?
CD 5 V3 C D sV Is
CD8V3 CD8VT2 - G raph th e solutions of the inequality —2x > 1 on a n u m b e r line.
Mixed Review
Graph each function.- y= Vx + 8
4fi See Lesson 10-5.- y = Vx - 6 54. y = 4V x
Determine whether the given lengths can be side lengths of a right triangle. ^ See Lesson 10-1.- 15, 3 6 ,3 9 56. 5 , ^ 57. 12, 35, 36
Get Ready! To p r e p a r e f o r Le sso n 11-1, do Exercises 58-61.
Factor each expression.- x2 + x- 12 59. x2 + 6x + 8 60. x2 - 2 x - 15
See Lesson 8-5.- x2 + 9x + 18
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