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trapecia [35]
3 years ago
9

The angle of elevation of the sun is 22∘. A 6ft tall man is standing in the shadow of a 76 ft tall tree so that the tips of thei

r shadows coincide. Sketch the situation. Find the distance between the man and the tree? rounded to the nearest foot

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer: 173.26 ft = 173 ft

Step-by-step explanation:

h tree: 76 ft

h man: 6 ft

As we can see on the sketch, they form a right triangle, so:

tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft

tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft

distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft

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Let's solve your equation step-by-step.

4x+2x−5=7x−1

Step 1: Simplify both sides of the equation.

4x+2x−5=7x−1

4x+2x+−5=7x+−1

(4x+2x)+(−5)=7x−1(Combine Like Terms)

6x+−5=7x−1

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Step 2: Subtract 7x from both sides.

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Step 3: Add 5 to both sides.

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Step 4: Divide both sides by -1.

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3 years ago
I Do Not get this awnser
Paraphin [41]

The question is asking you which shape is the same shape as the shape displayed with the question. The shape could be bigger, smaller, flipped around, or any other different way, but it has to be the same shape.

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3 years ago
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