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There is a 100-meter-long slope with an inclination of 45°. First, the inclination must be changed to 30°. Then how many meters should the original slope foot extend (accurate to 1 meter)

Solution

1. The height of the slope H=100*sin45?=100*√2/2=50*√2

2. The length of the slope foot =The height of the slope (isosceles triangle)

3. The length of the slope foot at 30 degrees =H/tan30?=50*√2 /√3/3=50*√2*√3

4. The length of the extended slope foot=50*√3*√2-50*√2=50*1.414*(1.732-1)≈52 (meter)

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