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Answer: 24 feet (Choice D)</h3>
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Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
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Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Answer:
12 times the August rainfall
Step-by-step explanation:
The total of 12 of the same value is 12 times that value. Multiply the August average by 12 to get your answer.
Answer:
the value is of z is 5...for the given shape
Answer:
The length of the rectangle is 159923.5 and the width of 53289.5
Step-by-step explanation:
We will make 2 equations one that is the perimeter and another that is the length with respect to the width
b = w*3+55
2b + 2 w = 426426
we will replace b with (w * 3 + 55) in the second equation
2b + 2 w = 426426
2(w*3+55) + 2w = 426426
we clear w to find its value
6w + 110 + 2w = 426426
8w = 426426 - 110
8w = 426316
w = 426316/8
w = 53289.5
Now that we have the value of w we replace it in the first equation and solve to find b
b = w*3 + 55
b = 53289.5*3 + 55
b = 159868.5 + 55
b = 159923.5
Lets say that x is the amount in dollar that both Elijah and his sister spent on the snacks in the movie
The equality would be :
2x = 34 - (2 * 9.50)
2x = 34 - 19
2x = 15
x = $ 7.5
