Question

A ladder 10 m long just reaches the top of a building 8 m high from the ground. Find the distance of the foot of the ladder from the building.

Answer 1

The other side is 6 cm

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Answer 2

$\bold{\huge{\fbox{\color{Black}{Given}}}}$

• Length of ladder = 10m

• Height of Building from ground = 8m

$\bold{\huge{\fbox{\color{Black}{Find}}}}$

• Distance of the foot of the ladder from the building.

$\bold{\huge{\fbox{\color{Black}{Solution}}}}$

• Let AB be the height of ladder = 10m

• Let BC be length of building = 8m

• Let AC be the length between foot of the ladder and building

Then,

According to Pythagoras theorem,

We get,

$= > {(</u></strong><strong><u>AB</u></strong><strong><u>)}^{2} = {(</u></strong><strong><u>BC</u></strong><strong><u>)}^{2} + {(</u></strong><strong><u>AC</u></strong><strong><u>)}^{2} \\ = > {(10)}^{2} = {(8)}^{2} + {(</u></strong><strong><u>AC</u></strong><strong><u>)}^{2} \\ = > {(</u></strong><strong><u>AC</u></strong><strong><u>)}^{2} = 100 - 64 = 36 \\ = > </u></strong><strong><u>AC</u></strong><strong><u> = \sqrt{36} = 6m$

Hence,

The distance from foot of the ladder to building is 6m