Question

Choose a building code for a ramp and describe the relationship between the lengths involved using geometry vocabulary such as hypotenuse, adjacent side, and opposite side. Use right triangle concepts from this Unit to find any unknown lengths and angle measures of the ramp. Be sure to identify the type of ramp. Explain if the building code of your ramp makes sense and do the same for the other building codes posted for discussion. Discuss why there are building codes for ramps and how you think they are determined.

Answer 1

Here we have triangle ABC, with sides a, b, and c

Answer 2

what trig identities use opposite adjacent and hypotenuse?

Answer 3

http://www.mathwarehouse.com/trigonometry/images/sohcohtoa/sohcahtoa-all.png

Answer 4

sin = Opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent.

Answer 5

im confused with the sin and cosine.

Answer 6

Lets say we wanted to find angle B:

Answer 7

sin(B) = opposite (5) / hypotenuse (lets just say it's 10)

Answer 8

sin(B) = 5/10
sin(B) = 0.5
arcsin(0.5) = 30 degrees.

B = 30 degrees

Answer 9

To find the other angle we take 180 (max degrees in a triangle) - 90 - 30

Angle A would be 60 degrees.

This would be a 30-60-90 triangle

Answer 10

We can also find angle B using cosine.

Answer 11

Ignore the length 8, I just put that there