Question

WILL MARK BRAINLIEST ASAP Mariana is mountain climbing with Emmet and has just climbed a 76-foot vertical rock face. Emmet is standing at the bottom of the cliff, looking up at Mariana. If Emmet is 95 feet away from Mariana, how far away from the cliff is Emmet standing?

Answer 1

Answer:

121.66 feet.

Step-by-step explanation:

Use the Pythagorean Theorem.

$a^{2} +b^{2} =c^{2}$

The vertical wall, 76 feet, is a. Emmet is 95 feet away from the vertical wall, so this is b. These two measurements create the right angle. Plugin the numbers and solve for c

$76^{2} +95^{2} = c^{2}$

$5776 + 9025 = c^{2} \\14801 = c^{2} \\\sqrt{14801}=\sqrt{c^{2} } \\121.66 = c$