We are given that from the position of the bus on the street, the 162-foot L'arc de Triomphe is at an angle of 34^(∘), and we are asked to evaluate how far the bus is from the arc. Let x represent this distance.
Since we are given that the angle of elevation is 34^(∘), we can use one of the trigonometric ratios to evaluate the value of x. Let's recall that the tangent of ∠ A is the ratio of the leg opposite ∠ A to the leg adjacent ∠ A. Using this definition, we can create an equation for tan 34^(∘).
tan 34^(∘)=162/x
Let's solve the above equation.
