A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.) 26.0° ft 8.5° <-105 ft + The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will the excavation extend? (Round your answer to three significant digits.)

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A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.)
26.0°
ft
8.5°
<-105 ft
Re
The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot
must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will
the excavation extend? (Round your answer to three significant digits.)
Transcribed Image Text:A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.) 26.0° ft 8.5° <-105 ft Re The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will the excavation extend? (Round your answer to three significant digits.)
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