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3 years ago

2. A tree casts a shadow 25m long. At the same time, a signpost next

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

The height of the tree is 14.85 $\bar 3$ m

Step-by-step explanation:

The length of the shadow cast by the tree = 25 m

The length of the shadow cast by the signpost = 6 m

The height of the signpost = 3.5 m

Therefore, by similar triangles, we have;

Let θ, represent the angle formed by the line extending a line from the tip of the shadow, to the tip of the object and let x represent the height of the tree, we have

Tan(θ) = Opposite/Adjacent = Height of the object/(The length of the shadow)

∴ Tan(θ) = 3.5/6 = x/25

x = 25 × 3.5/6 = 14.58 $\bar 3$

The height of the tree = x = 14.85 $\bar 3$ m

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3 years ago

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3 years ago

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props,

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Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

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∴ The percentage of the props = 100% - 55%

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