MATH SOLVE

5 months ago

Q:
# Geometry homework help!! Please!!

Accepted Solution

A:

Answer: ∠A ≈ 66° ∠B ≈ 24° AC ≈ 1.2 Step-by-step explanation:SOH CAH TOA and the Pythagorean theorem are useful tools for solving right triangles. The first tells you ... Sin = Opposite/HypotenuseFor ∠A, that means ... sin(A) = BC/AB = 2.7/2.95The inverse sine function (sin⁻¹ or arcsin) is used to find the angle from its sine value, so ... A = arcsin(2.7/2.95) ≈ 66°Likewise, the ratio for angle B involves the adjacent side: Cos = Adjacent/Hypotenuse cos(B) = BC/AB = 2.7/2.95 B = arccos(2.7/2.95) ≈ 24°Of course, angles A and B are complementary, so once you know angle A, you know that angle B is ... ∠B = 90° -∠A = 90° -66° = 24°___The Pythagorean theorem can be used to find the unknown side. It tells you ... AB² = AC² + BC² 2.95² = AC² + 2.7² AC = √(2.95² -2.7²) ≈ 1.2___These calculations are shown in the attachment using a TI-84 graphing calculator set to degrees mode. Any scientific or graphing calculator will do.