1) An aircraft pilot knows that his aircraft will glide 2.0 x 10^1 km from a hei

Question

1) An aircraft pilot knows that his aircraft will glide 2.0 x 10^1 km from a height of 2.00 x 10^3 m when landing. A transmitting tower is located directly in line with the runway. If the plane glides over the tower with 3.0 x 10^1 m to spare and touces down 6.5 km from the base of the tower, determine the height of the tower.

2) Based on the diagram, section VWXY is made up of three equal length segments. UW and XZ are perpendicular to VT and TY. Section VWXY is 2.0 x 10^1 m and the height of the truss is 2.5 m. Find the lengths of XT and XZ.

Explanation / Answer

1)let x be hieght of tower

aircraft will glide 2.0 x 10^1 km from a height of 2.00 x 10^3 m when landing...

e plane glides over the tower with 3.0 x 10^1 m to spare and touces down 6.5 km from the base of the tower,

i.e 2/(x+3*10 ^-3)=(2/6.5)

=>x=6.5-0.003=6.497 m

2)VY=2 m

now WX=2/3

let A be mid point of WX

then WA=1/3

and Given AT=2.5

now XT=sqrt(WA^2+AT^2)=2.522 m

ZX=1.46 m

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