Question

find h 61.03 35.60 35.00 35.71

Explanation:

Step1: Apply Pythagorean theorem

The ladder, ground, and height \(h\) form a right triangle. The Pythagorean theorem states \(a^2 + b^2 = c^2\), where \(c=50\) ft (ladder, hypotenuse), \(a=35\) ft (ground), and \(b=h\). Rearrange to solve for \(h\):
$$h = \sqrt{c^2 - a^2}$$

Step2: Substitute values into formula

$$h = \sqrt{50^2 - 35^2}$$

Step3: Calculate squared terms

$$50^2 = 2500, \quad 35^2 = 1225$$

Step4: Compute difference and square root

$$h = \sqrt{2500 - 1225} = \sqrt{1275} \approx 35.71$$

Answer:

35.71