Question

★ELLOH

$\huge \mathfrak \orange{❥QUESTION}$




★The tops of two towers of height x and y, standing on level ground, subtend angles of 30° and 60° respectively at the centre of the line joining their feet, then find x : y.

★ REQUIRED QUALITY ANSWER
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Answer 1

Step-by-step explanation:

tan30o=ax            tan60o=ay

x=atan30o                   y=atan60o

yx=tan60otan30o=31

x:y=1:3.

Hope it would be helpful

Answer 2

Answer:

Ratio of x to y is 1 : 3.

Step-by-step explanation:

Given:

Height of two towers is x & y

Angle subtended at center of line joining their feet are 30° and 60°

To find:

ratio x to y

Given Angles are Angle of depression but we know angle of depression is equal to angle of elevation.

Thus, use give angles at angle of elevation.

Also, Angle made at center of line joining there feet .i.e., C is mid point and BC = CE.

In Δ ABC

using trigonometric ratio

tan 30°=AB/BC

1/√3=X/BC

BC=X×√3

x=BC/√3

In Δ CDE

using trigonometric ratio,

tan 60°=DE/CE

√3=y/CE

CE=y/√3

y=CE×√3

Now,

X/y=BC/√3/CE×3

X/y=BC/CE×√3×√3

X/y=BC/CE×3

X/y=BC/BC×3 ( ∵ BC = CE )

X/y=1/3

Therefore, Ratio of x to y is 1 : 3