Question

the pilot of an aircraft flying horizontally at a speed 1200 km/hr observes that the angle of depression of a point on the ground changes from 30 degrees to 45 degrees in 15 seconds. Find the height at which the aircraft is flying

Answer 1

Secondary SchoolMath 8+4 pts

The pilot of an aircraft flying horizontally at a speed 1200 km/hr observes that the angle of depression of a point on the ground changes from 30 degrees to 45 degrees in 15 seconds. Find the height at which the aircraft is flying

Report by OnyRgandhakavaw 27.10.2016

Answers

Sreejithnkrish · Helping Hand

Know the answer? Add it here!

Sharinkhan Expert

at 1200km/hr, the plane travels

1200 x 15sec x hr/3600sec = 5km

height= h

horizontal distance= x

h/x = tan 45° = 1

h/(x+5) = tan 30° = 1/√3

h=x, so,

h/(h+5) = 1/√3

h = 5/(√3-1) = 6.83 km