Question

possible points: 9.09
a 27 inch screen is shown below. the screen is 24 inches wide. how tall is the screen? round your answer to the nearest tenth.
the screen is approximately ____ inches tall.

Explanation:

Step1: Apply Pythagorean theorem

Let height = $h$. The diagonal is hypotenuse: $h^2 + 24^2 = 27^2$

Step2: Calculate squared values

$h^2 + 576 = 729$

Step3: Isolate $h^2$

$h^2 = 729 - 576 = 153$

Step4: Solve for $h$

$h = \sqrt{153} \approx 12.369$

Step5: Round to nearest tenth

$h \approx 12.4$

Answer:

12.4