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Find the value of x and round to the nearest tenth.

Find the value of x and round to the nearest tenth.-example-1
User Luisdaniel
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1 Answer

1 vote

Answer:

1. ≈ 1072,6 ft;

2. ≈ 753,6 ft;

3. ≈ 194,2 ft;

4. ≈ 107,7 ft.

Explanation:

1. Use trigonometry:


\tan(40°) = (900)/(x)

Use the property of the proportion to find x:


x = (900)/( \tan(40°) ) ≈ 1072.6

Do the other ones the same way:

2.


\tan(37°) = (x)/(1000)


x = 1000 * \tan(37°) ≈753.6

3.


\sin(18°) = (60)/(x)


x = (60)/( \sin(18°) ) ≈194.2

4.


\sin(48°) = (80)/(x)


x = (80)/( \sin(48°) ) ≈107.7

User Spilarix
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