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Goryan [66]
2 years ago
8

Help I will mark you brainlist

Mathematics
1 answer:
vampirchik [111]2 years ago
6 0

Answer:

D: 16.5

Step-by-step explanation:

Here,

Area of trapezium is 1/2 sum of parallel sides*height

as given,

1/2 (8+3)*3

1/2*33

16.5

Hope it helps!!

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There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
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Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
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We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
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