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Elina [12.6K]
3 years ago
14

A building 62 feet tall casts a shadow 21 meters long . At what angl is the sun shining on the building

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

71.3°

Step-by-step explanation:

A building 62 feet tall casts a shadow 21 meters long . At what angle is the sun shining on the building?

We solve this question using the Trigonometric function of Tangent

tan x = Opposite/Adjacent

Where

Opposite = 62ft

Adjacent = 21 ft

x = Angle

Hence,

tan x = 62/21

x = arc tan (62/21)

x = 71.288262125°

Approximately = 71.3°

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Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

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2 years ago
A nonnative fern species is introduced into an area and quickly begins to spread. The number of plants can be modeled by
ivolga24 [154]

Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

<h3>How to complete the information?</h3>

The given parameters from the question are:

P(n) = 1200(1.68)^n

Where

n represent the number of months

An exponential growth function is represented as:

P(n) = a * (1 + r)^n

Where

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By comparison, we have

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This gives

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Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

Read more about exponential growth function at:

brainly.com/question/2456547

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3 0
2 years ago
What is the compound interest on investing $600 for 3 years at 7% per annum? ​
Marysya12 [62]

Answer:

About $735.03

Step-by-step explanation:

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r is the rate

n is the number of times compounded (1 for this one since it is annual)

and t is the time compounded

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Answer:36 times for 8 dollars

Step-by-step explanation:

k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars

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2 years ago
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Please helpppp!!! Find the area of the irregular figure
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Answer:

The area of the figure is 143 sq in

Step-by-step explanation:

10 in * 7 in = 70 sq in

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