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Lena [83]
3 years ago
14

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. how tall is the tower?

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
For this case we can use the following trigonometric relationship:
 tan (x) = C.O / C.A
 Where,
 x: angle (elevation of the sun)
 C.O: opposite leg (height of the tower)
 C.A: Adjacent Leg (shadow of the tower)
 Clearing we have:
 C.O = C.A * tan (x)
 Substituting values:
 h = 60 * tan (65)
 h = 128.67 feet
 Answer:
 
the tower is 128.67 feet tall
levacccp [35]3 years ago
6 0

answer is attached below


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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)
guajiro [1.7K]

Answer:

Part 1) y=-\frac{1}{5}x-1

Part 2) y=3x-16

Part 3) y=4

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{-2+3}{5-10}

m=\frac{1}{-5}

m=-\frac{1}{5}

<em>Find the value of b</em>

we have

m=-\frac{1}{5}

point (10,-3)

substitute in the equation y=mx+b  and solve for b

-3=-\frac{1}{5}(10)+b

-3=-2+b

b=-3+2=-1

substitute

y=-\frac{1}{5}x-1

Part 2) we have

(6,2) (7,5)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-2}{7-6}

m=\frac{3}{1}

m=3

<em>Find the value of b</em>

we have

m=3

point (6,2)

substitute in the equation y=mx+b  and solve for b

2=3(6)+b

2=18+b

b=2-18=-16

substitute

y=3x-16

Part 3) we have

(4,4) (-7,4)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

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m=\frac{0}{-11}

m=0

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

<em>therefore</em>

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y=4

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Which of the following options have the same value as 30\%30%30, percent of 818181?
Nataly_w [17]

Answer:

Option B is correct = 0.3 \times 81

Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) \frac{30}{100}\times 81 \times 100

(B) 0.3 \times 81

(C) 0.03 \times 81

(D) \frac{3}{10}\times 81 \times 10

(E) 30 \times 81

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  \frac{30}{100} \times 81

                     =  \frac{3}{10} \times 81  =  0.3 \times 81

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

\frac{30}{100}\times 81 \times 100  =  30 \times 81

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

0.3 \times 81  

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

0.03 \times 81  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

\frac{3}{10}\times 81 \times 10  =  3 \times 81

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

30 \times 81  

This doesn't match with our answer, so this option is not correct.

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4 years ago
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