Question

The diagonal of rectangle makes an angke of 48°with its smaller side.If the length of smaller side is 16 cm then find length of greater side (sin48°= 0.743)

Answer 1

Answer:

Step-by-step explanation:

We know sin 48 is 0.74/1. We can find out tan 48 from it which is approximately 37/24. Now tan 48 is also x(required length)/16. Equating both we get approximately 24

Answer 2

The length of greater side is 17.769 cm

Solution:

The diagonal and two sides of rectangle forms a right angled triangle

Diagonal = hypotenuse

length = larger side

breadth = base = smaller side

The length of smaller side is 16 cm

Therefore,

base = 16 cm

Let length = x

The diagonal of rectangle makes an angle of 48°with its smaller side

By definition of tan,

$tan\ 48 = \frac{opposite}{base}\\\\tan\ 48 = \frac{opposite}{16}\\\\1.1106 = \frac{opposite}{16}\\\\opposite = 17.769$

Thus the length of greater side is 17.769 cm

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