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marusya05 [52]
3 years ago
13

The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is 75 yards away from where the

fireworks are launched, at what height is the center of the display? Round to the nearest whole yard
Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

107.1075 yards

Step-by-step explanation:

To solve this problem, we can imagine a triangle, where one of the angles is 55 degrees, the adjacent cathetus is 75 yards, and we want to know the opposite cathetus (the height of the center of the display, "h").

The relation between opposite and adjacent cathetus is the tangent, so:

tan(55) = h/75

tan(55) = 1.4281, so:

h/75 = 1.4281

h = 75*1.4281 = 107.1075 yards

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nignag [31]

Answer:

Step-by-step explanation:

Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

x^2+6x=-9

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

x^2+6x+9=-9+9

The reason we do this is to create a perfect square binomial on the left:

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This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
3 sin(x) + 3 = sin(x)
kumpel [21]

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Step-by-step explanation:

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What are corresponding angles
azamat

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Step-by-step explanation:

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Read 2 more answers
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