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3 years ago

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John wants to measure the height of the tree in his yard. He stands so that the top of his shadow matches up with the top of the

tree’s shadow. John is standing 14 meters from the tree and his shadow is 2 meters long. If John is 1.75 meters tall, how tall is the tree?

1 answer:

dexar [7]3 years ago

7 0

Answer:

hi

Step-by-step explanation:

hi

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Answer:

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Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

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where

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For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

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The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

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$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+55t-36=0$

so

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

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