@ Key Question #20 1. Moah 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 ~NBA as75 and ZBANas70. Determine the distance between their houses. 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, 6and 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. 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. 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 first base? Richard is standing between two buildings in a townhouse development. The building on the left is @ m away and the angle of elevation to its security spotlight, A, is 68. The building on the right is & 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? 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 doorway is 16 m from the camera. The edge of the parking lot is 24 m from the camera. The doorway is 28 m from the edge of the parking lot. What angle of view is needed for the camera? 1. Find the length of the indicated side. 10 m 175* 14m 2. Find the measure of angle C. 3.2 m $9m C 7.6 m 3. In A EFG, find the value of f, if e = 7.3 cm, g = 8.7 cm and ZE = 73*. 4. In A LMO, find the value of m, if o = 32 cm, I = 52 cm and ZM = 95.5. In A BCD, find the value of _B, if b = 41 cm, c = 65 cm, and d = 52 cm. 6. In A ABC, find the value of ZC, if a = 5.7 m, b = 3.9 m, and c = 7.7 m. 7. Two paths diverge at a 44" angle. Two mountain bike riders take separate routes at 6.5 km/hr and 10 km/hr. How far apart are they after 2 hours? Include a diagram. 8. Draw a diagram to solve this problem: Ajax is 8 km due west of Oshawa. Uxbridge is 16 km NW of Oshawa. How far is it from Ajax to Uxbridge? Explain whether you have enough information to solve this problem. 9. A golfer hits a tee shot on a 285 m long straight golf hole. The ball is hooked (hit at an angle) 14" to the left. The ball lands 183 m from the tee. How far is the ball from the hole? 10. Given the points A(0, 0), B(4, 3) and C(2, 9), what is the measure of _ ABC