Question

Roshni saw an eagle on the top of the tree at an angle of elevation of 61 degree while she was standing at the door she went to terrace to see it clearly the terrace was at a height of 4m while observing the eagle from there the angle of elevation was 52 degree at what height from the ground was the eagle

Answer 1

Answer:

13.77 m

Step-by-step explanation:

Define x and y:

Let x be the height from the ground to the eagle

Let y be the ground distance from the door to the tree

Find the distance when she was at the door:

tanθ = opp/adj

tan(61) = x/y

y = x/tan(61)

Find the distance when she was at the terrace:

tanθ = opp/adj

tan(52) = (x - 4)/y

y = (x- 4)/tan(52)

Solve x:

Both the distance are equal

x/tan(61) = (x- 4)/tan(52)

x tan(52) = (x - 4)tan (61)

x tan (52) = x tan(61) - 4 tan(61)

x tan(61) - x tan(52) = 4 tan(61)

x( tan(61) - tan(52)) = 4 tan(61)

x = 4 tan(61) ÷ ( tan(61) - tan(52) ) = 13.77 m

Answer: The height of the eagle from the ground is  13.77 m

Answer 2

Answer:

the value of angle should be given