Question

question 5 this is a diagram of a ramp that will be constructed in one of the new exhibits. what is the height of the ramp? 34 in. 30 in. 4 in. 256 in. 8 in. 16 in.

Explanation:

Step1: Apply Pythagorean theorem

Let height = $h$, hypotenuse $c=34$ in, base $b=30$ in.
$$h^2 + b^2 = c^2$$

Step2: Rearrange to solve for $h^2$

$$h^2 = c^2 - b^2$$

Step3: Substitute values and calculate

$$h^2 = 34^2 - 30^2 = 1156 - 900 = 256$$

Step4: Take square root of $h^2$

$$h = \sqrt{256} = 16$$

Answer:

16 in.