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mote1985 [20]
3 years ago
10

The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 13.713.7degrees°. If skyscrap

er B is 14521452 feet​ tall, how far apart are the two​ skyscrapers? Assume the bases of the two buildings are at the same elevation.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

  5956 ft

Step-by-step explanation:

If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.

The definition of the tangent function tells us ...

  tan(A) = BT/AB

Solving for AB, we find ...

  AB = BT/tan(A) = (1452 ft)/tan(13.7°)

  AB ≈ 5956 ft

The skyscrapers are about 5956 feet apart.

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y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2,  y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

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Which function is quadratic?
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Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

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Let us use the information above to solve the question

∵ f(x) = 1.5^{x}

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

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∴ f(x) is not a quadratic function

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∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

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∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

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