Mathematics, 07.01.2020 23:31 idk7193

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use the information in the diagram to determine the height of the tree. the diagram is not to scale

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The attached picture has the small triangle, with the tree as one leg of the triangle and the large triangle, with the building as the corresponding leg of that triangle.

In the original picture, the single small line marked in the side are same length (we can call this x) and the double small line marked in the side are of same length (we can call this y).

So as seen in the attached image:

Small triangle's hypotenuse (side opposite of 90 degree angle) is x and the base is y. Similarly for the larger triangle, hypotenuse is 2x and base is 2y.Angle labeled a is same for bothAlso we have 2 right angles as shown

Hence, the triangles are similar and the ratio of their sides are also same.

If we take any side (let's take the hypotenuse) and compute the ratio. We have,

$\frac{hypotenuse of small triangle}{hypotenuse of large triangle}= \frac{x}{2x} =0.5$ . This implies that we can multiply 0.5 to any side of larger triangle to get corresponding side of smaller triangle.

So, the building height and tree height are corresponding sides. To get height of tree, we multiply 0.5 to 120 to get 60 as the height of the tree.

120*0.5=60 ft

This is the correct answer.

ANSWER: 60 ft

Asap.use the information in the diagram to determine the height of the tree. the diagram is not to s

Answer from: Quest

answer: 5100 just subtract

step-by-step explanation:

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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