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maxonik [38]
3 years ago
5

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string

with the ground is 42.5∘. How high is Mark's kite above the ground? Find your answer to the nearest tenth.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

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Which lists the side lengths in order from shortest to longest?
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Answer:

A. d, e, f

Step-by-step explanation:

Suppose there is a triangle DEF in which,

EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,

∵ Sum of all interior angles of a triangle is 180°,

⇒ ∠D + ∠F + ∠E = 180°,

⇒ 48° + 73° + ∠E = 180°,

⇒ 121° + ∠E = 180°,

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Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,

∵ ∠F > ∠E > ∠D

By the above statement,

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Hence, FIRST OPTION is correct.

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