We are given that a hiker is on the top of a mountain 250 feet above sea level with a 68^(∘) angle of depression, and we're asked to determine the distance between the camp and the top of the mountain, which we will call d. We will sketch a diagram describing this situation.
To evaluate the value of d, we can use one of the trigonometric ratios. Let's again recall that the sine of ∠ A is the ratio of the leg opposite ∠ A to the hypotenuse. Using this definition, we can create an equation for sin68^(∘).
sin 68^(∘)=250/d
Now we will solve the equation using a calculator.
