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e-lub [12.9K]
3 years ago
14

there is an antenna on the top of a building. From a location 300 ft from the base of the building, the angle of elevation to th

e top of the building is measured to be 40 degrees. From the same location the angle of elevation to the top of the antenna is measured to be 43 degrees. find the height of the antenna
Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

300tan43 - 300tan40

Step-by-step explanation:

Use tangent to find the height of the building:

tan40 = b/300

b = 300tan40

The use tangent to find the height to the top of the antenna:

tan43 = a/300

a = 300tan43

The antenna height = a - b

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Answer: Vertex (5,7)

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4 years ago
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Sedaia [141]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
dusya [7]
In this question weight of a flea and an ant is given, but their units are different. So comparing and finding out the weight of flea and ant would be difficult. First thing that needs to be done is to bring the units of both the flea and the ant under same unit.
Weight of flea = 8 decigrams
Weight of ant = 3 milligrams.
Now let us convert the weight of the flea from decigrams to milligrams.
We already know that
1 decigram = 100 milligram
Then
8 decigrams = 100 * 8 milligrams
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Then
The weight by which the flea is greater than the ant = (800 - 3) milligrams
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4 years ago
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mote1985 [20]

Answer:

\large\boxed{f(x)=\dfrac{3}{2}x-1}

Step-by-step explanation:

\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}

\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for  the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT

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Alexxandr [17]
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