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FromTheMoon [43]
3 years ago
9

What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent

h)

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for Tan\theta= \frac{Opposite}{adjacent}

Next, putting the value in the formula.

⇒ Tan 60° = \frac{12}{adjacent}

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= \frac{12}{\sqrt{3} } = 6.92 ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

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A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 3 hats and 4 masks were sold for $27. In
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You can use the Elimination Method to solve this System of equations:

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3. Solve for "y".

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\left \{ {{-3x-4y=-27} \atop {3x+6y=33}} \right.\\.....................\\2y=6\\\\y=\frac{6}{2}\\\\y=3

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