Answer :
Answer:
Step 1: …State the length and width of the rectangle. Length of the rectangle is \(60\) ft. Width of the rectangle is \(90\) ft.
Step 2: …State the base of the triangle. Base of the triangle is \(120\) ft.
Step 3: …Assume the triangle is a right-angled triangle and find the height. Since no other information is given, assume the triangle is right-angled. The problem does not provide enough information to determine the height of the triangle. If we assume the \(120\) ft is the hypotenuse and \(90\) ft is one of the other sides, we can use the Pythagorean theorem to find the height. Let \(a\) and \(b\) be the legs of the right triangle and \(c\) be the hypotenuse. According to the Pythagorean theorem: \(a^{2}+b^{2}=c^{2}\). Let \(a=90\) ft and \(c=120\) ft. Then, \(90^{2}+b^{2}=120^{2}\). \(8100+b^{2}=14400\). \(b^{2}=14400-8100\). \(b^{2}=6300\). \(b=\sqrt{6300}\). \(b=\sqrt{900\times 7}\). \(b=30\sqrt{7}\). \(b\approx 79.37\) ft. Therefore, the height of the triangle is approximately \(79.37)ft
