Need help plz on delta math

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

Answer: The x intercept for Line A is 2 and the x-intercept for line B is -6.

Step-by-step explanation:

Line A uses the equation y = -1/2x + 1 and to find the x intercept y has to be zero so set the equation equal 0 and solve for x.

0 = -1/2x + 1 Subtract one from both sides

- 1 -1

-1 = -1/2x divide both sides by -1/2

x = 2

So the x intercept for A is 2

For Line B it already indicates the x intercept because that is when y is 0. So when y is 0 then x is -6.

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So, writing the equations we have:

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Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

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$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

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$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

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$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$