Kolby needs to fix a leaky roof on his mom's house but doesn't own a ladder. He thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a point P on the ground where he can visually align the roof of his 4.25 ft tall car with the edge of the roof of the house. If point P is 8.5 ft from the car and the car is 23 ft from the house, will the 25-foot ladder be tall enough?

Stewart notices a shadow of the helicopter is lagging approximately 50 m behind a point directly below the helicopter. If he is 2 m tall and casts a shadow of 1.6m at this time, what is the altitude of the helicopter?

A person 6 feet tall is walking away from a lamp post that is 24 ft tall in the dark. Draw several diagrams to show different lengths of shadows as the person moves away from the lamp post b. Set up a mathematical relationship based on your diagram a.

Steve plants his garden, but just as it begins to thrive, deer start eating all of the fruit and vegetables. He decides to try to build an enclosure by hanging clear plastic over ropes attached to poles down the center of the garden. A cross-section of the ropes forms two right triangles with each pole. Each section of rope is 18 feet long. The distance from the base of the pole to each stake in the ground is 2/3 the height of the pole. What is the height of each pole? What's the height of the pole in feet and inches? Will this be enough to cover the width of Rashid’s garden if the garden is 10 feet by 20 feet?