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BlackZzzverrR [31]
3 years ago
5

A traffic helicopter pilot 300 feet above the road spotted two antique cars. The angles of depression are 7.5° and 9º. How far a

part are the cars? Round to the nearest tenth.
Mathematics
1 answer:
loris [4]3 years ago
7 0

Answer:

  384.6 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig relation involving sides adjacent and opposite the angle. Here, the road distance is adjacent to the angle of depression, and the altitude is opposite. So, you have ...

  Tan = Opposite/Adjacent

  tan(7.5°) = (300 ft)/(distance to car 1)

  tan(9°) = (300 ft)/(distance to car 2)

Solving for the distances, we have ...

  distance to car 1 = (300 ft)/tan(7.5°) ≈ 2278.73 ft

  distance to car 2 = (300 ft)/tan(9°) ≈ 1894.13 ft

Then the separation between the cars is ...

  distance apart = 2278.73 ft - 1894.13 ft

  distance apart = 384.6 ft

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3 years ago
Find the slope of a line passing through the following points (1 ,5) and (4, 10)
Luden [163]

Answer:

5/3

Step-by-step explanation:

We can find the slope of a line given two point by using

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6 0
4 years ago
-3m &lt; 15<br> PLEASE HELP
lbvjy [14]

Answer:

m > -5

Step-by-step explanation:

Divide your inequality by the coefficient of m, which is -3. Doing that requires you reverse the comparison symbol:

(-3m)/(-3) > (15)/(-3)

m > -5

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The comparison symbol is reversed whenever an inequality is multiplie or divided by a negative number. You might be able to see why when you look at the relation between a couple of integers:

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6 0
3 years ago
Which equation represents a line which is parallel to the line y=1/5x-5
notsponge [240]

Answer:

x+5y =30  

this is random because it wont let me submit the answer unless I write 20 characters lol

7 0
3 years ago
Read 2 more answers
(64/125) to the power of -2/3
Sedaia [141]
As the exponent is negative, we can rewrite the expression as (125/64) raised to the power 2/3.

So, (125/64) raised to the power 2/3 can also be written as [(5/4) raised to the power 3] raised to the power 2/3. The exponents will multiply and the final exponent will be 2.

Hence the answer will be (5/4) squared.
Therefore the answer is (24/16).
7 0
3 years ago
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