The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.

11 m

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31 m

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20 m

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9 m

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Solution

The correct option is C
20 m

Let AB and CD be two trees such that AB = 20 m, CD = 41 m & BD = 29 m.

Draw BE $⊥$ CD. Then, ED = 21 m.
$∴$ BE = $\sqrt{{B D}^{2} - {E D}^{2}}$ = $\sqrt{{(29)}^{2} - {(21)}^{2}}$ = $\sqrt{400}$ = 20 m.
$∴$ AC = BE = 20 m.

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The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.

The correct option is C 20 m Let AB and CD be two trees such that AB = 20 m, CD = 41 m & BD = 29 m. Draw BE ⊥ CD. Then, ED = 21 m. ∴ BE = √BD2−ED2 = √(29)2−(21)2 = √400 = 20 m. ∴ AC = BE = 20 m.

The correct option is C
20 m

Let AB and CD be two trees such that AB = 20 m, CD = 41 m & BD = 29 m.

Draw BE $⊥$ CD. Then, ED = 21 m.
$∴$ BE = $\sqrt{{B D}^{2} - {E D}^{2}}$ = $\sqrt{{(29)}^{2} - {(21)}^{2}}$ = $\sqrt{400}$ = 20 m.
$∴$ AC = BE = 20 m.