Question

Consider the right triangle shown below.Suppose that tan(θ)=24/7 (the diagram above is not necessarily to scale).y is how many times as large as x?   Not enough information.What is the value of y?y=Not enough information.What is the value of x?x=  Not enough information.

Answer 1

a. By definition

$\tan (angle)=\frac{\text{ opposite}}{\text{ adjacent}}$

From the picture

$\tan (\theta)=\frac{y}{x}=\frac{24}{7}$

Isolating y

$y=\frac{24}{7}x$

y is 24/7 times as large as x

b. Given that neither θ nor x is known, then y cannot be evaluated (not enough information)

c. Given that neither θ nor y is known, then x cannot be evaluated (not enough information)