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A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side.

Sagot :

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees

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