SOLUTION: The base of this right triangle is 10 in. long. What is its height, h? The triangle with base 10in.long and its interior angle given 30 degrees. sin, cos, tan functions: Pr

Algebra.Com
Question 1101702: The base of this right triangle is 10 in. long. What is its height, h?
The triangle with base 10in.long and its interior angle given 30 degrees.
sin, cos, tan functions: Proportion set up : tan 30 degrees= opposite/adjacent
tan 30 degrees =h/10
How do I solve the problem for h, without a calculator?
Please include step by step instructions. I am very confused with the sin cos and tan functions, especially solving them manually:(
Thanks!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The trig functions of 30, 45 & 60 degs can be determined using the unit circle.
It's covered in great detail on Wikipedia - "Half angle formulas"
----
sin(30) = 1/2
cos(30) = sqrt(3)/2
tan(30) = sqrt(3)/3
============================
You can find the cos and tangent if you remember the sin(30) = 1/2

tan = sin/cos
------------------------
sin(45) = cos(45) = sqrt(2)/2

RELATED QUESTIONS

In a triangle, the height is 1 inch longer than twice its base. If the area of the... (answered by Alan3354)
the base of the triangle is 10, and its area is 20. what is the... (answered by cleomenius)
The base of a triangle is one-third as long as its height. If the are of the triangle is... (answered by Fombitz)
The base of a triangle is one third as long as its height. If the area of the triangle... (answered by MathLover1)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by Earlsdon)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by mananth,rfer)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by solver91311)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by Fombitz,nyc_function)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by nyc_function)