During School Sports day, learners placed 10m ladder against a vertical wall to hang a banner. The foot of…

Question

During School Sports day, learners placed 10m ladder against a vertical wall to hang a banner. The foot of the ladder was 6m from the wall as shown below, how high up the wall did the ladder reach?

ScanSolve AI Tutor · Accepted Answer

Huu ni mfano wa pembetatu mraba, ambapo ngazi inawakilisha hypotenuse, ukuta unawakilisha upande mmoja, na umbali kutoka ukuta hadi mguu wa ngazi unawakilisha upande mwingine. Tutatumia Theorem ya Pythagoras.

Tambua vipimo vilivyotolewa.
Urefu wa ngazi (hypotenuse, $c$ ) ni $10 \text{ m}$ .
Umbali kutoka ukuta hadi mguu wa ngazi (upande mmoja, $a$ ) ni $6 \text{ m}$ .
Urefu ambao ngazi inafikia ukutani (upande mwingine, $b$ ) ndio tunatafuta.
Tumia Theorem ya Pythagoras.
Theorem ya Pythagoras inasema $a^2 + b^2 = c^2$ .
Badilisha thamani zinazojulikana kwenye fomula.
$6^2 + b^2 = 10^2$
Tatua kwa $b$ .
$36 + b^2 = 100$ $b^2 = 100 - 36$ $b^2 = 64$ $b = \sqrt{64}$ $b = 8 \text{ m}$
Urefu ambao ngazi ilifikia ukutani ni $\text{8 m}$ .

During School Sports day, learners placed 10m ladder against a vertical wall to hang a banner. The foot of the ladder was 6m from the wall as shown below, how high up the wall did the ladder reach?

Answer

Step-by-step solution

Tambua vipimo vilivyotolewa.

Tumia Theorem ya Pythagoras.

Badilisha thamani zinazojulikana kwenye fomula.

Tatua kwa $b$ .

Try one yourself

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More Mathematics Questions

During School Sports day, learners placed 10m ladder against a vertical wall to hang a banner. The foot of the ladder was 6m from the wall as shown below, how high up the wall did the ladder reach?

Answer

Step-by-step solution

Tambua vipimo vilivyotolewa.

Tumia Theorem ya Pythagoras.

Badilisha thamani zinazojulikana kwenye fomula.

Tatua kwa bbb.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Tatua kwa $b$ .