# A Day at the Pool

#### Storyboard Text

• ﻿﻿﻿﻿﻿A Day at the PoolBy: Natalie Hyer
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿Jason wanted to go swimming in his pool on a hot summer day, but he noticed it was dirty. Before he could get in and enjoy the cool water, he had to clean his pool. Looking up at the net at an elevation of 40 degrees, Jason saw that it was 4 feet away. Using trig, he calculated that 4 x tan(45) = 3.36. The net is 3.36 feet high.
• ﻿﻿﻿﻿﻿40°
• ﻿﻿﻿4 ft
• ﻿x
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿Jason went out to the pool to start cleaning when he spotted a toad. At a depression of 55°, he extended his pole 8 feet to reach the toad, but was wondering how far away the toad is. So Jason used 8 x cos(55) to find that the frog was 4.59 feet away from him.
• ﻿﻿﻿﻿﻿﻿﻿55°
• ﻿﻿x
• ﻿﻿﻿﻿﻿﻿﻿﻿8 ft
• ﻿﻿﻿﻿﻿﻿﻿﻿As soon as Jason went to grab the toad, it swam away. So he went around to the other side of the pool to get closer and tried again. This time Jason was 3 feet from the toad and his pole stretched to 4 feet. Jason wanted to know the angle of depression, so he used trig. By using the inverse of cos(3/4), he learned that the depression was 41.41 °
• ﻿﻿
• ﻿4 ft﻿﻿
• ﻿﻿﻿3 ft
• ﻿x
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿After he got the toad out of the pool, Jason took it over to the grass to set it free. At a distance of ﻿5 feet to the ground and 6 feet from the toad, Jason again wanted to find the angle of depression. Using trig, he found that the inverse of tan (5/6) gave him an angle of depression of 39.81°.
• ﻿5
• x﻿
• ﻿6
• ﻿﻿﻿﻿﻿After finally finishing cleaning his pool, Jason was able to enjoy the water!