70 ft because 7 is bigger than 5 and 7x10=70
The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31
Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
1. Check the sketch of the problem.
2. In right triangle DCE,
tan 50 can be found to be 1.19 using a scientific calculator or other software.
x=1.19*50=59.5 (feet)
3. The height of the building is 59.5+5=64.5 (feet)
Answer: 64.5 (feet)