Current location - Health Preservation Learning Network - Healthy weight loss - As shown in the figure, the stone arch bridge in a park is circular arc (lower arc), with a span of 24m, a radius of 13m and an arch height of ().
As shown in the figure, the stone arch bridge in a park is circular arc (lower arc), with a span of 24m, a radius of 13m and an arch height of ().
B

Solution: Because the span AB=24m, the radius of the circle where the arch is located is 13m.

So find the center O and connect OA, and extend the CD to O to form a right triangle.

DO=5 is obtained from Pythagorean theorem and vertical diameter theorem.

Then the arch height CD = co-do = 13-5 = 8m.

So the answer is: 8.

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