A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lightho
use. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?
<span>The ratio of the ruler’s height to the distance from eye to ruler, which is the tangent of the angle subtended at the eye by the ruler’s height, must be the same as the ratio of the lighthouse’s height to its distance, which is the tangent of the same angle. Since 3 inches is ¼ foot, we have ¼/2=60/D, and solving for D gives D= 2×60/¼ = 4 × 120 = 480 feet</span>
Answer:Oliver has 5 pieces of string that are each 4 2/12 feet long. Destiny has 4 pieces of string that are each 5 14/16 feet long. Use an estimation strategy to determine who has the most string. Choose the name and number to complete the statement.