Directions: Answer the following word problems by making a diagram and including units in your answer. Show all your work to receive full credit. 16. LADDER A 10-foot ladder is leaning against a house. The base of the ladder is 5 feet from the side of the house. At what height does the ladder touch the house? Round to the nearest tenth if necessary. 17. ROSES The Garden Club has a garden in the shape of a right triangle. If one leg is 16 feet long and the hypotenuse is 20 feet long, how long is the remaining leg, along which the roses are planted? Round to the nearest tenth if necessary.

If a circle has a diameter of 10 cm, what is its circumference using \( \pi \\)?

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: \( (-3,0),(3,0) \); vertices: \( (-10,0),(10,0) \) Type the standard form of the equation. (Type an equation. Simplify your answer.)

What geometric term does the surface of a parking lot represent? point line plane angle

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: \( (-2,0),(2,0) ; y \)-intercepts: -9 and 9 Type the standard form of the equation. (Type an equation. Simplify your answer.)

Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of major axis: \( (4,10) \) and \( (4,4) \) Endpoints of minor axis: \( (6,7) \) and \( (2,7) \) Standard form of the equation: