Calculate the length of the ramp shown in the diagram.

Step 1: Tambua kuwa muundo huu unaunda pembetatu ya pembe mraba (right-angled triangle). Urefu wa ukuta (3 m) na umbali wa usawa (4 m) ni pande fupi, na urefu wa njia panda (ramp) ndio hypotenuse. Ili kupata urefu wa njia panda, tutatumia Theorem ya Pythagoras. Theorem ya Pythagoras inasema: $a^2 + b^2 = c^2$, ambapo $a$ na $b$ ni urefu wa pande fupi, na $c$ ni urefu wa hypotenuse.

Step 2: Badilisha thamani zilizopewa kwenye fomula. Tuna $a = 3$ m na $b = 4$ m. Wacha $c$ iwe urefu wa njia panda. $3^2 + 4^2 = c^2$

Step 3: Kokotoa miraba ya namba. $9 + 16 = c^2$

Step 4: Jumlisha namba hizo. $25 = c^2$

Step 5: Tafuta mzizi wa mraba wa pande zote mbili ili kupata $c$. $\sqrt{25} = \sqrt{c^2}$ $5 = c$

Step 6: Andika jibu la mwisho na vitengo vyake. $c = 5 \text{ m}$

Jibu la mwisho ni: $\boxed{5 m}$

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