how do you find the height of a right triangle if you only know the base and 1 angle using tan, cos, our sin ?

Question

australopithecus · Answer

just use SOH CAH TOA

sin = opposite/Hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

if you have the angle and the base you can just rearrange one of these formulas to solve for the height

for example

|dw:1339455173201:dw|

australopithecus · Answer

We have the adjacent = 23 and the opposite = x
the angle is 32 degrees thus we use

tan(x) = opposite/adjacent

thus we have

tan(32) =23/x

xtan(32) = 23
x = 23/tan(32)

australopithecus · Answer

x = 36.8

anonymous · Answer

Ohhh that makes since!!

australopithecus · Answer

furthermore if you know 2 angles in the triangle you can easily figure out the third remember all the angles of a triangle add up to 180