# Similarity & Trig Review

Similarity & Trig Review BD is parallel to AE. Find DE and CE DE = 15 CE = 21 4 6 = 14 84=4 =21 21 6=15

A model of a building has a scale of 2 in to 15 ft. If the model is 5 in tall, how tall is the actual building? 2 5 = 15 37.5 . 75=2 =37.5 CAT ~ DOG Find: x and y

8 6 = 12 72=8 =9 =10 8 = 12 15 120=12

CAT ~ DOG What is the scale factor? 8 2 3 2 = 12 3 CAT ~ DOG What is the perimeter of CAT?

What is the perimeter of DOG? What is the ratio of the perimeters of CAT to DOG? =24 =36 24 2 = 36 3 CAT ~ DOG What are the

measures of angles D, O, and A? D= O= A boy who is 5 ft. tall cast a shadow that is 12 ft long. At the same time, a building nearby cast a shadow that is 72 ft long. How tall is the building? Draw a picture! 5 = 72 12 360=12

=30 5 72 12 Are these triangles similar? Why or Why Not? ABC angle measures are 92, 57, 31 Write a similarity statement. NO

ABC ~ __________ NO Are these triangles similar? By what rule? SSS~ Write a similarity statement. DEF ABC ~ __________ 18 21 33

24 28 44 3 3 3 = = 4 4 4 Are these triangles similar? By what rule? SAS~ Write a similarity statement. XYZ RST~ __________ 28 21

= 16 12 336=336 DE is parallel to BC. Find the length of BC. A 6 5 = 10 5 6

=12 D h h 6 6+ 12=18 ( h ) 6 6 = 18 18 =18 E

B 10 C An 8 foot ladder is leaning against a wall so that the base is 5 feet from the base of the wall. What angle does the ladder make with the ground? Round to the nearest tenth. cos ( ) = 8ft A

5ft 5 8 1 5 =51.32 8 () Bob is looking at a helicopter that is flying 1,000 feet above the ground. Bob is 1,500 feet from the helicopter. At what angle of elevation is Bob looking at the helicopter? Round to the nearest tenth. Helicopte

r 1 1000f t 1500ft Bob 1000 =41.81 1500 A kite is being flown using 150 yards of string. The kite has an angle of elevation with the ground of 65 degrees. How high above the

ground is the kite? Kite sin 65= 150 yards 150 150 x 135.95 yards = x 65

The sides of a triangle have a ratio of 2:3, what is ratio of their areas?

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