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Vadim26 [7]
2 years ago
14

In ΔWXY, the measure of ∠Y=90°, XW = 85, WY = 77, and YX = 36. What is the value of the cosine of ∠W to the nearest hundredth?

Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

0.91

Step-by-step explanation:

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Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on
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Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

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Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

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Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

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x = 1.732y = 1.732 × 9.3

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6 0
3 years ago
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So he should receive 37. 195 mg every 12 hours

3 0
3 years ago
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