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A man who is 6 feet tall is standing near a cactus

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1 A man who is 6 feet tall is standing near a cactus
A man who is 6 feet tall is standing near a cactus. The length of the man’s shadow is 2 feet. The cactus casts a shadow 5 feet long. How tall is the cactus? HINT: What shape does each figure make with it’s shadow? Label the measurements.

2 Lesson 6.6: Scale Drawings
Scale Drawing – two dimensional figure that is SIMILAR to the actual object Scale Model – three dimensional figure that is SIMILAR to the actual object Scale – ratio comparing the measurements of scale drawing/model : actual object Ex. : key on a map - 1cm = 150 miles Examples: maps, architect plans for building houses, model cars

3 The scale on a map is 1cm = 150 miles
The scale on a map is 1cm = 150 miles. How many miles is it from Chambersburg to New York City if the distance on the map is 4.6 cm.? 1x = (150)(4.6) x = 690 miles

4 A sofa is 8 feet long. In a scale drawing the sofa is 3 inches long
A sofa is 8 feet long. In a scale drawing the sofa is 3 inches long. Find the scale for the drawing. 3 inches : 8 Feet * Drawing : Actual 8 feet = 8(12) inches 8 feet = 96 inches Scale is 3 inches : 96 inches *Same Units 1: # 3x = 96 1:32 x =32 inches

5 The scale drawing of a basketball court has a scale of 1inch : 9 feet.
a) The basketball court is 94 feet by 50 feet. Find the dimensions of the court in the drawing Length = in. Width = in. (94)(1) = 9x 94 = 9x (50)(1) = 9x 50 = 9x

6 b) The free throw line is 15 feet from the backboard
b) The free throw line is 15 feet from the backboard. How far is the free throw line from the backboard in the drawing? (15)(1) = 9x 15 = 9x The free throw line is inches away from the backboard on the drawing.

7 Homework: p , #16-32 mult. of 4, 36, 39,40,

8 *** Remember to use the same units in the scale
*** Scales are always written as Scale Drawing: Actual *** Scales are always 1: some #

9 Write the following scale without units.
1in = 20 feet To write a scale without units, both numbers must have the SAME UNIT. Change 20 feet into inches: (20)(12) = 240 inches The scale is 1:240


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