A tree in front of a house is slightly tilted at 75o. The house is 64 feet
away from the tree. The angle formed from the house to the top of the tree is
40o. If a big storm comes and the tree will fall, will it hit the house? Justify your
answer.
Questions Answers
What is being asked in the problem?

What are the given quantities that are
important to solve the problem?

Draw / illustrate the problem or
situation. Provide necessary label for
your illustration.

Based on the given quantities, write
the formula to be used in order to
arrive at the correct answer.

Show you complete solution and state
your final answer.If a big storm comes and the tree will
fall, will it hit the house? Justify your
answer.

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Respuesta :

The tree cannot hit the house.

We have given that,

A tree in front of a house is slightly tilted at 75 degrees. The house is 64 feet.

away from the tree. The angle formed from the house to the top of the tree is 40 degrees.

The angle at bottom of the tree is 75 degrees.

The angle at the bottom of the house is 40 degrees.

The angle at the top of the tree is 45 degrees.

What s the expression used here?

[tex]\frac{64}{sin65} =\frac{x}{sin40}[/tex]

[tex]\frac{64}{sin65} =\frac{x}{sin40} \\x=\frac{64}{sin65} \times sin40=45.4 feet\\[/tex]

Therefore they cannot hit the house.

To learn more about the angle visit:

https://brainly.com/question/25716982

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