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.

Estimate the measure of this angle within \( 10^{\circ} \).

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. 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

Which statement is true? O A reflection is not a function because the image could overlap the pre-image. A reflection is a function because the line of reflection is atways horizontal. A reflection is a function because each point on the pre-image is mapped to exactly one point on the image. A reflection is not a function because a point on the pre-image could be mapped to more than one point on the image.