For the following word problems, first draw a picture and then solve the problem.
1) A 100-foot line is attached to a kite. When the kite has pulled the line taut, the angle of elevation to the kite is approximately 50°. Approximate the height of the kite.
2) The height of a radio transmission tower is 70 meters, and it casts a shadow of length 30 meters. Find the angle of elevation.
3) An observer 2.5 miles from the launch pad of a space shuttle launch measures the angle of elevation to the base of the shuttle to be 25°.
How high is the shuttle at that instant?
16) x(z+3)+1+3-yz; use x=6, y=-5, and z=2
39
17) 6+q+5-(q-p)+15; use p=1, and q=1
27
18) -3÷3(a+c(b+5)-(-6+a)); use a=1, b=-6, and c=-4
-10
Simplify each expression.
19) 9x+9-1
9x+8
20) 10n-4n
6n
21) -9-6(-v+5)
-39+6v
22) -10(-8x+9)-8x
72x-90
23) 1+4(2-3k)
9-12k
24) -8v+6(10+6v)
28v+60
25) 7(1+9v)-8(-5v-6)
55+103v
26) -10(x-7)-7(x+2)
-17x+56
27) -2(-6x-9)-4(x+9)
8x-18
28) 9(7k+8)+3(k-10)
66k+42
Review of Algebraic and Numeric Expressions
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