Question

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

Answer 1

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`