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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.
Kite Area = (diagonal1 * diagonal2) / 2
Kite Area = (30 * 4) / 2
Kite Area = 60 square feet
Answer:
Step-by-step explanation:
We're given,
~
~
So, it says x + y = -2
we just plug in the numbers so,
2 + - 4 = -2
This equation is true and can also be written as
2 - 4 = -2
It also then says that 2x - y = 8
Again, you just plug in the numbers
2 * 2 - (-4) = 8
This equation is true and can also be writen as,
2*2 + 4 = 8
Hello from MrBillDoesMath!
Answer: 1 17/24
Steps:
Evaluate (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14
(5(5) - 6(3) + 20(14)) / 4 (3)(14) (Substitute in values)
= (25 - 18 +280) / 4 (3) (14) (Evaluate products)
= (287) / 4 (3) (14) (Evaluate expressions)
= 287/ 168 (4 (3)(14) = 168)
= (168 + 119 ) /168 287 = 168 + 119
= (168)/168 + 119/168
= 1 + 119/168
= 1 119/168
BUT 119 = 17 * 7 (surprise!) and 168 = 12 * 7 * 2 so answer
= 1 (17*7)/(12*7*2)
= 1 (17)/(12*2) (Cancel 7's)
= 1 (17/24)
Regards, MrB
