A 6.50 m long ladder leans against a house wall. The ladder forms an angle of inclination a of 72 ° with the horizontal ground. How high is the ladder against the wall?

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

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

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step-by-step explanation: