Real World GeometrySample

Marc is standing at the top of this lighthouse 60 ft above the water. His friend DanIs waving to him from his sailboat. If the sailboat is 80 ft from the lighthouse,how far apart are Marc and Dan? What is the angle of elevation from Dan to Marc?

Right Triangle Trigonometry

Right Triangle Trigonometry

Using Pythagorean Theorem:

602 + 802 = c2

3600 + 6400 = c2

10000 = c2

100 = c

So, Marc and Dan are 100 feet apart.

Using trigonometry:

So, the angle of elevation is 36.90.

Right Triangle Trigonometry

Area of Regular Polygons

My sister is jumping on a trampoline with a radius of 10 feet. How much room does she have to jump?

 

 

Area of Regular Polygons

On a recent trip to Egypt, I visited the pyramids. The Great Pyramid has a base length of 756 ft.

The pyramid to its right has a base length of 252 ft.What is the similarity ratio of the pyramids?

What is the ratio of the areas of one of the triangular faces of the pyramids?

Perimeter and Area of Similar Figures

Perimeter and Area of Similar Figures

 Similarity Ratio:

32

12=91

Ratio of Areas: