Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with th

Question

2 years ago

8

e diagonal at the top of the canvas. What is the length of the diagonal of the canvas? Round your answer to the nearest inch.

1 answer:

KengaRu [80] · Answer 1 · 2022-10-06T11:12:51+03:00

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches