3 years ago

Vbnmg bar bgfb gb ghtb gab bingo gb gn

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

5 0

Hehdhehdsjnxnsnehdh??

Dmitry_Shevchenko [17]3 years ago

4 0

Crctcyb vbybubtcrza ctrs???

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A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o

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Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

Hence The height of tree house is 70.71 feet

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