Find the measure of the side of the right triangle, whose length is designated by a lowercase letter. a= __ cm (photo below)

Question

asked Apr 3, 2024 5.5k views

1 Answer

Prakhar Rathi · Answer 1 · 2024-04-07T19:59:05+0000

Answer:

a ≈ 402.8 cm

Explanation:

using the tangent ratio in the right triangle

tan40° =
(opposite)/(adjacent) =
(a)/(480) ( multiply both sides by 480 )

480 × tan40° = a , then

a ≈ 402.8 cm ( to 1 decimal place )