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3 years ago

Find the height of the triangle if the area is 36 m 2

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Answer:

Area=1/2bh

Given area of 36m^2

1/2(x)(x-1)=36

Multiply both sides by 2 to remove deminator

(x)(x-1)=72

X^2-x=72

X^2-x-72=0 then factor

(x-9)(x+8)=0

X=9,-8 however since area must be positive, take the absolute value of 8

1/2(9m*8m)=36m^2

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1 year ago

If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro

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Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

$\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}$

So we have

$\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}$

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