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Trignometric Ratio's Project

By: Gillian,Veronica, Jordyn

The Girl's Bathroom Sign

The Girl's Bathroom Sign

The sign that marks the girl's bathroom is broken. The custodians plan on replacing it with a new one. To do this they need to find out the exact position of the sign to replace it in the same location. They enlist the help of a few students.

Equation

Equation

-1

Cosine <x=adj./opp.

Measurements

Measurements

distance from floor to top of the sign: 36 in

hypotenuse: 48 in

Calculations

Calculations

x

Hypotenuse

-1

-1

Cosine <x=adj./opp.

Cosine <x=36in/48in

x=41.4°

Adjacent

Opposite

Solution

The new sign needs to have an angle of 41.4° in order for the sign to be placed in the same spot as the old one.

The Dangerous Tree

Andrew decided he wants to cut down a tree in his front yard. However, he doesn't know if it's going to hit his neighbors house when he cuts is down. He request the help of a few geometry students.

Equation

Equation

Tangent<x=opp./adj.

Measurments

Distance from tree to naighbors house: 20 ft

Angle where distance meets neighbors house: 43°

Measurments

Calculations

Calculations

hypotenuse

opposite

1. tan⁡〖(43°)=(20 ft)/m〗

2. tan (43°) (tan (43°))=(20ft x m)tan (43°)

3. m=(20ft/m(tan (43°)〗)m

4. m=21 ft

adjacent

m

Angle m

Solution

Andrew can't cut down the tree in his front yard because the distance to his neighbors house is 20ft and the tree is 21 ft tall. If Andrew cuts down the tree it will hit his neighbors house. Andrew should cut off atleadt 3 ft off the top of the tree before chopping it down.

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