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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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3 years ago
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length o
KIM [24]

Answer:

43% of the trip

Step-by-step explanation:

1. Create an Equation

300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip

2. Solve

300 miles/100*x percent=129 miles

3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x

3x/3=129/3 <=== divide by 3 from both sides

x=43

Since x is 43 that means 129 equals 43% which is how much Tallulah slept

of the trip.

3. Check

300 miles/100*43%=129 miles <=== Substitute x with 43%

3x43%=129

129=129 <=== 129 is 129 which means that the answer is correct!

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2 years ago
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Virty [35]

Answer:

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Step-by-step explanation:

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