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4 years ago

Sally was standing 30 feet from a tree. The angle of

Mathematics

1 answer:

GrogVix [38]4 years ago

4 0

Answer:

The tree is 27 feet tall

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle BCD find the value of segment CD

$tan(38^o)=\frac{CD}{BD}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given value

$tan(38^o)=\frac{CD}{30}$

solve for CD

$CD=tan(38^o)(30)=23\ ft$

step 2

Find the height of the tree

The height of the tree is given by

$CE=CD+DE$

we have

$CD=23\ ft\\DE=4\ ft$

substitute

$CE=23+4=27\ ft$

therefore

The tree is 27 feet tall

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Therefore the required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

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