Math Problem Statement
Jack is on top of his building 85' above the ground. He aims a laser at the neighboring building 413" across the street from him. The laser reflects off the new shiny glass of the building 10' above the ground and then hits Jack's pet turtle on the street. How far does the turtle have to travel to get safe and sound back home to Jack's building? Write the answer in terms of feet & inches.
Solution
This image depicts a problem involving a laser aimed from a building to a street and reflecting to a target (a pet turtle). The goal is to find how far the turtle needs to travel to get to safety.
Let's break this down:
-
Information from the diagram:
- The building's height is 85 feet.
- The horizontal distance from the building to the turtle is 75 feet.
- The laser travels from the building to the street, reflects, and then hits the turtle located on the street.
-
Geometry Setup:
- A right triangle is formed with the building height, the horizontal distance to the turtle, and the hypotenuse being the laser's path.
- The laser reflects off a shiny surface at a neighboring building that is 10 feet tall.
- The problem seems to be solved using proportions involving similar triangles.
-
Calculations shown in the image:
- The ratio is used, where:
- 900 and 120 represent known measurements (perhaps distances or scaled values).
- 445 is a value related to the laser's path.
- represents the unknown distance the turtle must travel.
Solving for : Cross-multiply: So, the turtle must travel approximately 59 feet and 4 inches to get to safety.
- The ratio is used, where:
Would you like more details or clarifications on any step of the solution?
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Proportions
Similar Triangles
Formulas
Proportionality: (900/120) = (445/X)
Theorems
Similar Triangles Theorem
Suitable Grade Level
Grades 8-10