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loris [4]
3 years ago
5

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

round. If the angle of depression from the person on the building is 30°, how far are the two people away from one another? Round your answer to the nearest foot. ​

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

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2 years ago
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are
wlad13 [49]

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

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We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

(x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3

So, the coordinates of E are (29/4,3).

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3 years ago
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Find the slope of the line that passes through A(3,7) and B(7,10).
Nimfa-mama [501]

Answer:

m = 3/4

Step-by-step explanation:

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2 years ago
Read 2 more answers
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