Question 7 (Multiple Choice Worth 1 points) \( (05.03 \mathrm{HC}) \) Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the pool is \( 26.67^{\circ} \), and the slide is 33 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot. 66 feet 54 feet 30 feet 15 feet

To find the height of the top of the slide from the ground, we can use the sine function. Since we know the length of the slide (hypotenuse) is 33 feet and the angle of depression is \( 26.67^\circ \), we can calculate the height (opposite side) using: \[ \text{height} = 33 \times \sin(26.67^\circ) \] Calculating that gives approximately: \[ \text{height} \approx 33 \times 0.448 = 14.784 \text{ feet} \] So to find the total height from the ground, we add the height of the slide to the height where the bottom of the slide meets the ground. Given the option is rounded to the nearest foot, the answer is about 15 feet. So the answer is **15 feet**! Here's a fun fact: Waterslides have been around for centuries! The first slides were actually made from wood or metal and were often found in Carnival parks as fun attractions. Today’s slides are made from sturdy materials and can be engineered for thrilling twists and turns. So, the next time you take a plunge, remember you’re following a long line of thrill-seekers! If you’re aiming to tackle similar problems, here's a tip: Always draw a diagram! Visualizing the right triangle will help you see how the angle relates to the opposite side and hypotenuse, making it easier to choose the correct trigonometric function to use, avoiding common mistakes such as confusing opposite and adjacent sides. Happy solving!