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Lady_Fox [76]
3 years ago
13

A tree casts a shadow that is 150 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 30°,

how tall is the tree to the nearest foot?
A) 75 feet

B) 87 feet

C) 106 feet

D) 212 feet

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
<h3>Answer:</h3>

B) 87 feet

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you the relationship between angle, adjacent, and opposite sides is ...

... Tan = Opposite/Adjacent

In this geometry, the side adjacent to the angle is marked 150 ft, and the side opposite the angle is the height we want to find. This means ...

... tan(30°) = height/(150 ft)

Multiplying by 150 ft, we get ...

... height = (150 ft)·tan(30°) ≈ 87 ft

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3 years ago
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Aleksandr [31]

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

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⇒c ≥ 56 cans

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3 0
3 years ago
A triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. Is it a right triangle?
ycow [4]

Answer:

Yes it is!

Step-by-step explanation:

If you want to know whether it is, use the pytheoream theory. a2+b2=c2

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In this case, the equation will be:

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7 0
3 years ago
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Two plus nine-teen is twenty one then you subtract seven from that and get fourteen. Your answer is 14 foot
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3 years ago
Read 2 more answers
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