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3 years ago

15

A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store the shopper looks up and sees a

flag on the stores roof to the nearest degree what is the angle of elevation to the top of the building from the point on the ground where the shopper is standing?

1 answer:

Aleks04 [339]3 years ago

8 0

Answer:

The elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

Step-by-step explanation:

From the ΔABC

AB = height of the building = 250 feet

BC = 800 ft

Angle of elevation = $\theta$

$\tan \theta = \frac{AB}{BC}$

$\tan \theta = \frac{250}{800}$

$\tan \theta$ = 0.3125

$\theta = 17.35$ °

Therefore the elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

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Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

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Therefore, half of the votes made = $\frac{288}{2}$

= 144

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e). 126 girls voted for blue.

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2 years ago

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Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

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(-4, 4)

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M = 1-4/2-(-4)

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M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

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2 years ago

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To solve this proportion:

$\frac{3}{6} =\frac{7}{d}$

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1 year ago

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Answer:

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