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.

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

What is anoher way to name \( \angle D E F \) ? select each correct answer. - \( \angle E D F \) - \( \angle F \) - \( \angle D F E \) - \( \angle E \) - \( \angle D \) - \( \angle F E D \)

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:

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.)

11 Find the unknown angles in the figure and place the correct value into the box. Assume that the lines are parallel. DRAG \& DROP THE ANSWER Note: Use CTRL+D to drag the option via keyboard