Question

Use the image to answer the question.

Right triangle A B C has a height of 25. Angle A is labeled 54 degrees.

Use the tangent ratio to solve for missing side BC
of the right triangle.

(1 point)
Responses

side BC=34.41

side upper B upper C equals 34.41

side BC=18.16

side upper B upper C equals 18.16

side BC=115.80

side upper B upper C equals 115.80

side BC=25.18

Answer 1

Tangent of angle A: tan(54°) = opposite/adjacent = BC/25.
So BC = 25·tan(54°) ≈ 25·1.37638 = 34.41.

Answer: BC = 34.41.