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Virty [35]
3 years ago
9

A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near

est while degree
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

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Rasek [7]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
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(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad
(\stackrel{x_2}{7}~,~\stackrel{y_2}{4})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{7-2}{2}~~,~~\cfrac{4-7}{2} \right)\implies \left(\cfrac{5}{2}~,~\cfrac{-3}{2} \right)\implies \left( 2\frac{1}{2}~,~-1\frac{1}{2} \right)

5 0
3 years ago
An MP3 player costs $70 and song downloads cost $0.95 each. Write an expression that represents the cost of the MP3 player and x
babunello [35]
Let x represent the number of song downloads and let y represent the total cost

y=0.95x+70
3 0
3 years ago
What is the answer? I find this very confusing for me.
vichka [17]

Answer:

19

Step-by-step explanation:

If you want to find the answer of the equation, sub the given information into it:

z + xz + y

we know that:

x = 5

y = 1

z = 3

We got:

= 3 + 5*3 + 1

= 3 + 15 + 1

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Hope this helped :3

5 0
3 years ago
Dawn has 5/6 of a yard of lace. She uses 4/5 of it for a dress and the rest of it for a jewel box. How much does she use for the
never [62]
5/6-4/5=1/30
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3 0
3 years ago
Read 2 more answers
Complete the statements about the series
AleksAgata [21]

Answer:

Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.

This means that the value of k will go from 0 to 4, then all the numbers in the sum are:

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So we have 5 terms in our series.

b) to see the sign in each term, we must solve the powers, remember that:

(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

= 1 -1/2 + 1/4 - 1/8 + 1/16.

So the sign in each term of the series alternates.

4 0
3 years ago
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