how do i work out the angle of the bottom point if i have a length and height of triangle?

Question

i want to work out the pith of a roof

Answer 1

If the length you refer to is the length of one side of the roof, the pitch angle would be the angle whose sine equals the height over the length (opposite leg over hypotenuse). So divide height by length then so inverse sin of that answer.

Answer 2

If the two sides of the roof are the same length the you will have a isosceles triangle so as all the angles of the triangle should add up to 180 degrees take the angle at the top of the roof away from 180 and divide the answer by 2 to give the angle at the botton of the roof. Or if you have the hight and the length of the pitch of the roof this will be the hypotenuse of a right angle triangle so the sine of the angle will be the height divided by the hypotenuse.

Answer 3

If the Triangle is a right-angles triangle, with the right-angle between the length and the height, then use the following trigonometric function:-
Tangent (angle) = height divided by length.
Written mathematically as :-
Tan x = opposite / adjacent = o/a
Tan x = o/a
Then using the inverse function to find 'x'.
x (degrees) = Tan^-1 (o/a)

You need a scientific calculator or Castle's Four Figure Mathematical Tables, to calculate Tan^-1.

If the triangle is not Right-angled then use the
Sine Rule or the Cosine Rule. However, it is assumed that the triangle/pitch of the roof is right-angled.

Answer 4

If you split the triangle in half down the middle, you get two right triangles, each with a hypotenuse of 36 and a side of 18. Using the Pythagorean theorem, we get 18^2 + b^2 = 36^2. Solve for b and you have the height of the triangle. If the height is < 32, then your sheet of metal is large enough to make a sign.

Answer 5

If you have the length and the height of a triangle that is right-angled, then you have to use SOH CAH TOA to find out the angle you are looking for..... in this case, you have to use

tan x = Height of triangle divided by Length of triangle.....

So the proper formula should be:

x = tan-1 (height/length)


Oh and it is a negative tan.... not tan minus 1...... well,,, u should find the angle using this formula

Answer 6

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Answer 7

This gives you the confounding variable from which the
hippopotenuse is deduced giving you the absolute girth.

Answer 8

a squared+b squared= c squared. The Pythagorean Theorem.