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Maru [420]
3 years ago
14

The lighthouse on the beach casts a shadow that is 48 feet long. Your friend is 5.5 feet tall and casts a shadow that is 2.2 fee

t long. What is the height of the lighthouse?
Mathematics
2 answers:
Deffense [45]3 years ago
3 0
Let H = height of the lighthouse
5.5/2.2 = H/48
5/2 = H/48
H = 5*48/2 = 120 feet
Ilya [14]3 years ago
3 0

Answer: The height of the lighthouse= 120 feet.


Step-by-step explanation:

Let the shadow cast by lighthouse on the beach and the friend occur on the same time, then the triangle formed by lighthouse and its shadow and the triangle formed by friend and its shadow must be similar.

We know that the sides of two similar triangles are proportional.

Therefore,

\frac{\text{height of lighthouse}}{\text{length of shadow cast by lighthouse}}=\frac{\text{height of friend}}{\text{length of shadow cast by friend}}

\\\Rightarrow\frac{\text{height of lighthouse}}{48}=\frac{5.5}{2.2}\\\Rightarrow\text{height of lighthouse}=\frac{5.5}{2.2}\times48\\\Rightarrow\ \text{height of lighthouse}=5\times24=120\ feet


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If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%
vladimir1956 [14]

Complete Question

If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years

Answer:

$ 12,934.61

Step-by-step explanation:

The formula for Compound Interest Compounded continuously is given as:

A = Pe^rt

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7 0
2 years ago
What’s is Sin(22)x240
gizmo_the_mogwai [7]
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4 0
4 years ago
Compare the two ratios is 6 : 15 less than 30 : 80 or greater than?
romanna [79]

Work:
6/15 = x/1
To get from 15 to 1, you have to divide by 15. So, to make an equal field, divide 6 by 15.

6 : 15 is the same as 2 : 5 or 0.4.

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To get from 80 to 1, you have to divide by 80. So, to make an equal field, divide 30 by 80.

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Comparing the two, 30 : 80 is greater than 6 : 15.


Hope this helps. Have a good day.


6 0
3 years ago
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