6.182m against the wall from the ground
Well this is a tricky one though but very easy.
So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).
So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .
So from SOHCAHTOA, we are going to use SOH
What this basically means is
The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y
Sin(72°) = y/6.50, if we should cross multiple the we will be having
Y = sin(72°) * 6.50
After evaluating using your calculator,
You will have y = 6.182