A wheelbarrow is shown below. Part of the wheelbarrow is in the shape of a right-angled triangle.
By first finding sin 0, calculate the size of angle 0.
Give your answer in degrees to 1 d.p.
0.68m
0.89m
To find the size of angle 0, we need to find the ratio of the opposite side to the hypotenuse in the right-angled triangle.
Given that the opposite side is 0.68m and the hypotenuse is 0.89m, the ratio of the opposite side to the hypotenuse is sin 0.
Therefore, sin 0 = 0.68/0.89 = 0.764
To find the size of angle 0, we can use the inverse sine function (sin^-1) on a calculator or computer program.
Using sin^-1(0.764), we find that angle 0 is approximately 51.7 degrees.
Therefore, the size of angle 0 is 51.7 degrees to 1 decimal place.