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Pie
3 years ago
11

4. Suppose a security light is set into the ground and aims its light at the top of the building. The angle of elevation of the

light is 60 degrees. The building is 9 feet tall. a. What is the distance of the light's base from the bottom of the building? Use a trig function to calculate the distance. b. How long is the light beam? light beam. Use a trig function to calculate the length of the
Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft

b) The length of the beam is approximately: 10.4 ft

Step-by-step explanation:

First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:

tan(angle) = opposite side / adjacent side

We know the angle and the opposite side and we want to find the adjacent side:

adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft

In order to find the length of the light  beam, we use Pythagoras Theorem:

leg1²+leg2² = hyp²

Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:

hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft

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3 years ago
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls m
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Answer:

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Step-by-step explanation:

Given data :

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3 years ago
How many solutions does the following equation have? 13(y+3)=13y+39
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3 years ago
If the current in a circuit is 2 +j2 amps and the resistance is 3-j2 ohms, what is the voltage
victus00 [196]

Answer:

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Step-by-step explanation:

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By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:

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In this question:

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The voltage is 10 + 2j volts.

4 0
4 years ago
Help please, mainly with part b
tigry1 [53]
Here is all you need for b)

4 0
3 years ago
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