ANSWER
10.9
EXPLANATION
We use the Altitude Theorem to determine the value of h.
According to the Altitude Theorem, the height, h is equal to the geometric mean of the two segment created by the leg of the altitude on the hypotenuse.
This implies that:
[tex] h= \sqrt{MP \times PO} [/tex]
That's,
[tex]h= \sqrt{(24- 7)7} [/tex]
[tex]h= \sqrt{17 \times 7} [/tex]
[tex]h= \sqrt{119} [/tex]
[tex]h= 10.9[/tex]
to the nearest tenth.
