Application Problems using Similar Triangles 1. If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the / height of the tree. \\\\C)/ P l \\ 2 ft 24 ft 2. A bush is sighted on the other side of a canyon. Find the width of the canyon. 100 ft 7.5 ft 3. Find the width of the Brady River. 4. The foot of a ladder is 1.2 m from a fence that is 1.8 m high. The ladder touches the fence and rests against a building that is 1.8 m behind the fence. Draw a diagram, and determine the height on the building reached by the top of the ladder. 5. Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backward until he can see the top of the geyser in the middle of the mirror. At that point, Ramon's eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the height of the geyser. 6 ft 451t 751t 6. On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the flagpole. How tall is the tree