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andrey2020 [161]
3 years ago
7

An 18 foot tall tree casts a shadow of 11 feet. A man casts a shadow of 4 feet assuming these are similar triangles, how tall is

the man ?
Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

height of the man is ≈ 6.5

Step-by-step explanation:

shadow of the man/ shadow of the tree = height of the man/ height of the tree

4/11 = x/18                   cross multiply

11x = 4(18)

11x = 72

  x = 6.5

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Distance formula

\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

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\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units

#2

\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units

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\\ \tt\Rrightarrow LM=\sqrt{(-4-4)^2+(6+4)^2}=\sqrt{64+100}=\sqrt{164}\approx 13units

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8 0
2 years ago
Read 2 more answers
He found a quotient of 7 which division problem was he using?
marshall27 [118]
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6 0
3 years ago
5 A triangle has two congruent angles. The length of one
nlexa [21]

Answer:

<em>Answer: C. 32 cm</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem </u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

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4 0
2 years ago
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You want to find the time <em>t</em> such that

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