Chris C. answered 01/05/25
Learn math YOUR way — here’s how!
I start by drawing a picture of the triangle DTH, with each letter representing what is at each vertex of the triangle — ducks, tree, and house respectively. We know the distances TH = 26 feet and TD = 47 feet, as well as the measure of angle T = 28°.
Since we know two sides and the included angle in the triangle, we can use the Law of Cosines to find the measure of the final side DH, the distance the ducks are from the house:
DH = √ (262 + 472 – 2 • 26 • 47 • cos 28°)
Rounded to two places, the ducks are 26.96 feet away from the house.