Question

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75 C) 4.5 D) 3.45

Answer 1

Answer:

B) 3.75 m/s

Step-by-step explanation:

here,

BP is the distance between observer and

point P = 450√3 m

AP is the height of the balloon = x m

in ΔAPB,

tan60⁰ = AP/ BP

 √3 = x/450√3

x = 1350 m

time taken to cover 1350m = 6 minutes = 360 seconds

distance = 1350m

therefore speed of balloon = 1350 ÷ 360

after simplifying,

speed = 3.75 m/s

ans) speed of balloon = 3.75 m/s

Answer 2

Step-by-step explanation:

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