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jeka94
3 years ago
5

A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the

same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

48ft

Step-by-step explanation:

  • <u>Distance of car A from the tower</u>
  • Consider ∆ACD tan25 = 50/AC AC  = 50/tan25 = 50/0.4663 = 107.2 ft
  • <u>Distance of car B from the tower</u>
  • Consider ∆BCD tan40 = 50/BC AC  = 50/tan40 = 50/0.8391 = 59.6 ft

  • <u>Distance from cars A and B</u> AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ft
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slavikrds [6]

Step-by-step explanation:

Using R, I used the following code to create a histogram:

bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,  

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data.frame(bowling.scores)

ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +  

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7 0
3 years ago
Find the length of the hypotenuse
Darina [25.2K]

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

Hope it helped :)

3 0
3 years ago
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Lesechka [4]

Answer:

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Step-by-step explanation:

so your given an angle, 110, and another with an equation, 8x+30, which happens to be vertical to 110 degree angle meaning they are equal, so they both are equal to 110 now how do you solve for x? you simply reverse the equation that x is in, so you subtract 110-30=80, then divide by 8 giving you 10, so x=10.

3 0
2 years ago
Read 2 more answers
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Let x be the number of weeks; therefore, the two linear equations are

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Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0
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7 0
4 years ago
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