Answer:
55.6 inches
Explanation:
We use the Pythagorean Theorem in this question ~

A = Height (What we are finding in the problem.)
B = Width (77 inches)
C = Diagonal (95 inches)
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a² + (77)² = (95)²
a² + 5929 = 9025
a² = 3096
a =
= 55.641710...
Round to the nearest tenth ~
55.641710... ≈ 55.6 inches