8.2.1 Angles of Elevation and Depression - Practice
1. Identify the angle of elevation.
2. Identify the angle of depression.
3. Identify the angle of depression.
4. When observed from the top of a 191 ft tall lighthouse, the angle of depression of an approaching ship is 62 ° . Find the horizontal distance from the lighthouse to the ship rounded to the nearest foot.
6. As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30 ° to 45 ° . Find the height of the chimney from John’s eye level to the top of the chimney rounded to the nearest foot. ( Hint : The height of the chimney and the distance from John’s second position to the chimney are legs of a 45 ° -45 ° -90 ° triangle. The lengths of the legs of a 45 ° -45 ° -90 ° triangle are equal. So, use the same variable to represent both the height of the chimney and the distance from John’s second position to the chimney.)
5. A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depression of 62 ° , and the other is at an angle of depression of 33 ° . Find the distance between the two boats. Round your answer to the nearest foot.
84
Made with FlippingBook - PDF hosting