Question

Frequently, engineers and architects cannot directly measure an object’s length (distance),because it is impractical or physically impossible. Trigonometry is a valuable tool in such situations. For example, use the appropriate trigonometric ratio to determine the height of the cliff in the following diagram. Estimate to 1 place after the decimal.

Answer 1

approximately 84.4 meters

Explanation:

Make sure your calculator is in degree mode.

Let h be the height of the cliff (BC).

`\tan(32) = (h)/(135)`

`h = 135 \tan(32)`

`h = 84.4`