Similar Triangles Word Problems - Dearborn Public Schools
Direction: Draw a picture for the following in order to solve the problem.A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? (draw a diagram and solve)Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS? A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? 3994381748800243924931437160 cm90 cm360 cm160 cm90 cm360 cmA tower casts a shadow 7 m long. A vertical stick casts a shadow 0.6 m long. If the stick is 1.2 m high, how high is the tower? 4037162118494Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the flag pole. He knows the distance from the mirror to the flag pole is 18 ft and that the 2 triangles are similar. How tall is the flag pole? 00Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the flag pole. He knows the distance from the mirror to the flag pole is 18 ft and that the 2 triangles are similar. How tall is the flag pole? 94891113078005.6. 56071707501004763824525200038342411825910041060301647280045371351353707. Mr. Smith is having some photos enlarged for his studio. He wants to enlarge a photo that is 8 inches by 11 inches (length by width) so that the length is 20 inches, what does the width have to be?___________________498978-671339AnswersAnswersDirection: Draw a picture for the following in order to solve the problem.A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? (draw a diagram and solve)149237095258 feet8 feetTriangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS? 3293937707253600360A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? 3994381748800243924931437160 cm90 cm360 cm160 cm90 cm360 cm7246191533800 cm800 cmA tower casts a shadow 7 m long. A vertical stick casts a shadow 0.6 m long. If the stick is 1.2 m high, how high is the tower? 113868722505314 m14 m5. The perimeter of MDF is 84 feet. If MDF ~ KNG and the scale factor of MDF to KNG is , find the perimeter of KNG.25960122863112 ft112 ft6. Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275, what is the perimeter of TUV? (draw a diagram and solve)23118807991627 ft627 ft-600891181173007. The perimeter of ΔGEO is 27 and ΔGEO~ ΔMAT. Find the values of x,y,z449300812472X=12Y=9 Z=60X=12Y=9 Z=621180381542890040975476062Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the flag pole. He knows the distance from the mirror to the flag pole is 18 ft and that the 2 triangles are similar. How tall is the flag pole? 00Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the flag pole. He knows the distance from the mirror to the flag pole is 18 ft and that the 2 triangles are similar. How tall is the flag pole? 94891113078008. 9. 57666511044150049742121651900039267681521600431730511820600602123786269 ft9 ft28303177218627 ft627 ft47483151105810. Mr. Smith is having some photos enlarged for his studio. He wants to enlarge a photo that is 8 inches by 11 inches (length by width) so that the length is 20 inches, what does the width have to be?___________________24479251333527.5 8in27.5 8in ................
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