A person on a bridge sights a boat at an angel of depression of 6 degrees. The bridge is 96 feet above the water, If the boat is traveling 440 feet per minute, about how long will it take the boat to reach the bridge?
+9665 First solve for the distance between the boat and the bridge.
Distance = \(\dfrac{96}{\tan 6}\)feet.
Speed = \(\dfrac{\text{Distance}}{\text{Time}}\)
SO THAT
\(\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}\)
\(\text{Time}\\ =\dfrac{\frac{96}{\tan 6}\text{ft}}{440\text{ft/min}}\\ =\dfrac{96}{440\tan 6}\text{min}\\ \approx 2.076\min \text{#}\)
# means final answer.
