Question

From a point 50m above the ground the angle of elevation of the cloud is 30 degree and the angle of depression of its reflection is 60 degree. Find the height of the cloud above the clouds

Answer 1

Answer:

66.67m

Step by step explanation:

Find the horizontal distance between the building and the cloud:

Let the distance be x

tanθ = opp/adj

tan(90-60) = x/50

x = 50tan(30)

Find the height of the cloud to the building:

Let the height be y

tanθ = opp/adj

tann(30) = y/50tan(30)

y = 50 tan(30) x tan(30)

y = 50/3

Find the height of the cloud above ground:

Height = 50 + 50/3 = 66.67m

Answer: 66.67m