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Pg. 223 # 17 A 13-ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 5 ft above the ground?

Step 1 ,[object Object],y 13 x Ladder: 13 ft dy/dt= 2 ft/s dx/dt= ? When y=5 ft

Step 2 ,[object Object],[object Object],[object Object]

Step 3 ,[object Object],[object Object],[object Object]

Step 4 ,[object Object],13 x 5 (x)^2 + (5)^2=(13)^2 (x)^2 + 25=169 (x)^2 =144 Now: take the positive square root of both sides x= 12

Step 5 ,[object Object],[object Object],[object Object]

Step 6 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Step 7 ,[object Object],[object Object]

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William

1. Pg. 223 # 17 A 13-ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 5 ft above the ground?

2.

3.

4.

5.

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8.