Daphne and Velma want to investigate an abandoned lakehouse on an island that is 700 m directly across from the shoreline. They are standing on the shoreline at a position 1.2 km from the point on the shore that is closest to the island. If they can walk 2.5 km/h and canoe 4 km/h, determine the function needed to find how far up the shoreline they should walk before canoeing in order to get to the island in the shortest possible time. Also: a) Draw a fully labelled diagram. b) State the restrictions for this problem.
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Daphne and Velma want to investigate an abandoned lakehouse on an island that is 700 m directly across from the shoreline. They are standing on the shoreline at a position 1.2 km from the point on the shore that is closest to the island. If they can walk 2.5 km/h and canoe 4 km/h, determine the function needed to find how far up the shoreline they should walk before canoeing in order to get to the island in the shortest possible time.
Also:
a) Draw a fully labelled diagram.
b) State the restrictions for this problem.
Step by step
Solved in 3 steps with 7 images
