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Irina-Kira [14]
3 years ago
14

Need help!! What is the volume of this triangular

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Given:

Area of base = 90 ft²

Length of the prism = 13 ft

To find:

Volume of the triangular prism

Solution:

Volume of triangular prism formula:

Volume = Area of base × length of prism

Substitute the given values in the formula.

             = 90 × 13

Volume = 1170

Therefore, the volume of the triangular prism is 1170 ft³.

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cSuppose you are standing such that a 45-foot tree is directly between you and the sun. If you are standing 200 feet away from t
beks73 [17]

Answer:

you could stand at 5.0 ft and still be completely in the shadow of the tree

Step-by-step explanation:

From the diagram attached below;

We consider;

\overline {BC} to be the height of the tree and \overline {DE} to be the height of how tall you could be and still be completely in the shadow of the tree.

∠D = ∠B = 90°

Also;

ΔEAD = ΔBAC   (similar triangles)

Therefore, their sides will also be proportional

i.e

\dfrac{\overline {DE}}{ \overline {BC}}= \dfrac{\overline{AD}}{ \overline{AC}}

\dfrac{x}{ 45}= \dfrac{225-220}{225}

\dfrac{x}{ 45}= \dfrac{25}{225}

By cross multiply

225x = 45 × 25

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