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Licemer1 [7]
3 years ago
14

A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr

iend on the ground below at an angle of depression of 80.2 What is the distance between the two? Round your answer to the nearest tenth of a foot.

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

Last option 527.7 ft

Step-by-step explanation:

From the diagram attached we can see the angle of depression is 80.2 which is equal to ∠ACB (alternate angles)

Height of the deck AB = 520 ft. and we have to calculate the distance H between the tourist and her friend.

Sin ∠ACB = \frac{AB}{AC}

Now we apply sin rule sin 80.2 = \frac{520}{H}

.9854=\frac{520}{H}

H = \frac{520}{.9854} = 570 ft

So the tourist and her friend are 527.7 ft apart.

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Answer:

g(4) = 19

General Formulas and Concepts:

<u>Pre-Alg</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = x² + 3

g(4) is x = 4

<u>Step 2: Solve</u>

  1. Substitute:                    g(4) = 4² + 3
  2. Evaluate:                       g(4) = 16 + 3
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3 years ago
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Step-by-step explanation:

the given  function: c(x) = 0.5x+70.

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And y-intercept b =70.

for us to be able to graph it, we need to plot y-intercept from 70  and then plot some more points by applying or increasing the points by \frac{1}{2}

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cost is at $70 for 0 number of miles. travelled.

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6x + 9 = 8
6x + 9(-9) = 8(-9)
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This data set is ages at first job. 14, 14, 16, 16, 17, 17, 18, 20, 21, 23 Construct a boxplot. Make sure to include labels.
aleksandr82 [10.1K]

Answer:

Please find attached the required box and whiskers plot

Step-by-step explanation:

The numbers are given in arranged order as follows;

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The five number summary are;

The minimum value = 14

The maximum value = 23

The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term  = 14 + 0.75×(16 - 14) = 15.5

The second quartile, Q₂, (the median) is the  (n + 1)/2th term or the 5.5th term = 17

The third quartile, Q₃, is the  3(n + 1)/4th term or the 8.25th term  = 20 + 0.25×(21 - 20) = 20.25.

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17,360

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