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zvonat [6]
2 years ago
15

suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from

the top of the tree to the ground at your feet makes an angle of 11 degrees with the ground.How far from you is the base of the tree.

Mathematics
1 answer:
Eva8 [605]2 years ago
3 0
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft

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Answer:

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Step-by-step explanation:

Given

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Required

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Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

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V = \frac{4}{3}\pi r^3

Divide both sides by r

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Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

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Recall that D = 2r

So, h = D = 2r

h = 2r

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V = \frac{28r}{2r}

V = \frac{28}{2}

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