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Elodia [21]
3 years ago
11

Please see the photo. It's not 4 or 6.

Mathematics
2 answers:
Verdich [7]3 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(x - 6 + 5) = 4(x - 3 + 4)

5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides

5x - 5 = 4x + 4 ( subtract 4x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

maria [59]3 years ago
3 0
9 because what they said lol
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The clouds are 226.68 meters above the spotlight.

Step-by-step explanation:

Step 1:

The angle measuring device is 65 meters from the spotlight and the angle of elevation from the ground to the spot of light is 74°.

So a right-angled triangle can be formed using these measurements. The angle of the triangle is 74° while the opposite side of the triangle measures x meters while the adjacent side of the triangle measures 65 meters.

We need to calculate the opposites side's length of the triangle.

Step 2:

Since we have the adjacent side's length and need to calculate the opposite side's length we use the tan of the given angle.

The opposite side of the triangle = x meters.

\tan \theta = \frac{oppositeside}{adjacentside} = \frac{x}{65}.

tan 74 = 3.487, x = 3.487(65) = 226.07.

So the spot of light is 226.07 meters above from the spotlight.

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