Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x.

Solution:

From the image we know that

tan θ = opposite/adjacent

Substituting the values

tan(35) = x/12

By cross multiplication

x = 12 × tan(35)

So we get

x = 12 × 0.7002

x = 8.4024 cm

Round to the nearest tenth, we get x = 8.4

Therefore, the value of x is 8.4 cm

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x.

Summary:

The value of x is 8.4 cm . The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x.