Answered

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As the guest was sneaking away, the grounds keeper was 4 feet(48 inches) away and pushed an 84 inch ladder onto the suspect. The very top of the ladder hit the guest in inches, then convert to feet. Suspect height= ____ft. ____ in.

Sagot :

To solve this problem, draw the situation for a better comprehension:

As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.

To do this, use the corresponding units.

For inches:

[tex]\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}[/tex]

The suspect is 68.9 inches high.

Convert this height to feet:

[tex]68.9in\cdot(\frac{1ft}{12in})=5.74ft[/tex]

The suspect is 5.74 feet high.

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