Q) Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank.serve the diagram and based on above information, answer the following questions:

From a window (W) of the building, the angle of elevation of top of the tank is 45° and angle of depression of its foot is 30°.
(i) Write a relation between d (the height of window) and y
(ii) Determine the value of h.
(iii) Determine height of the water tank.
(iv) Find the value of x and height of the window above ground level.

(Q 36 – 30/5/2 – CBSE 2026 Question Paper)

Ans:

In Δ AXW, sin 30 =

∴

(ii) Value of h:

In Δ BXW, tan 45 =

∴ 1 =

Let’s calculate value of d:

In Δ AXW, tan 30 =

∴

∴ d =

A) Value of x:

In Δ BXW, cos 45 =

∴

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