Answer:
x = 80°
Step-by-step explanation:
The full angle of the straight line is 180°. We already have 100°, so we need to find out what is left over for x
180 - 100 = 80
So the angle of x is 80°
The kite is approximately 78.80 feet off of the ground.
Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p
sin
52
o
=
h
100
f
t
100
sin
52
o
=
h
100
(
0.7880
)
=
h
78.80
f
t
=
h
A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?
Step 1. Area of a rectangle is given as A=length * width
Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.
Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.
Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.
Step 5. ANSWER: The area increased by 16 square feet.
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