Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.
First, determine which of SOH-CAH-TOA you need to use. As this question involves the Hypotenuse and the Opposite side, use Sine. As such, write out the equation as: sin(35) = 12/x. (Let x represent the Hypotenuse value). Next, rearrange the equation to: x = 12/sin(35). To do this, multiply both sides of the equation by x and divide both sides by sin(35).Now, input 12/sin(35) into your calculator to give x = 20.9 to 3 significant figures.
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