MAP4C Foundations for College Mathematics Lesson 20 Key Question #20 1. Noah and Brianna want to calculate the distance between their houses which are opposite sides of a water park. They mark a point, A, 120 m along the edge of the water park from Brianna's house. The measure ANBA as75 and ABANas 70 . Determine the distance between their houses. 2. From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6\" and 13 , respectively. The points and the tower are in the same vertical plane and the distance from A to B is 1.1 km. Determine the height of the tower. 3. A children's play area is triangular. The sides of the play area measure 90m, 225m and 255m respectively. Calculate the area of the play area. 4. A baseball diamond is a square with sides 22.4 m. The pitcher's mound is 16.8 m from home plate on the line joining home plate and second base. How far is the pitcher's mound from rst base? 5. Richard is standing between two buildings in a townhouse development. The building on the left is 9 m away and the angle of elevation to its security spotlight, A, is 68 . The building on the right is 6 m away and the angle of elevation to its security spotlight, B, is 73 . Which spotlight is farther away from Richard, and by how much? 6. A security camera needs to be set so that its angle of view includes the area from a doorway to the edge of a parking lot. The doonivay is 16 m from the camera. The edge of the parking lot is 24 m from the camera. The doonivay is 28 m from the edge of the parking lot. What angle of view is needed for the camera? 45