Question

❤holA!!! friendz

✔from a window 9 m above the ground of a house in a street the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30° and 60° respectively find the height of the opposite house and the width of the street .

saba
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Answer 1

Answer:

hope its help u ......

Step-by-step explanation:

let D be the window and DE be the width of the street.

And height of the house = (h + 9) m.

In the above figure DE = CB = d. BE= DC = 9 m and ∠ADE = 30°

and ∠BDE = 60°.

AB = (h + 9) m.

and AE = h m.

In a ΔADE Tan 30° = h / d 1 / √3 = h / d ∴ h = d / √3.

In a ΔBDE Tan 60° = 9 / d √3 = 9 / d ∴ d = 9 / √3 = 3√3.

∴ Width of the street = 3√3. h = d / √3 = 3√3 / √3 = 3 h = 3 m.

∴ total height of the house = h + 9 = 3 + 9 = 12 m.