Question

10 1. Use the image below to answer the following questions: Solve for the measurement of A. b. Solve for y. a. C. Solve for x. X 48 Y A​

Answer 1

see explanation

Explanation:

(a)

the sum of the 3 angles in the triangle = 180° , then

∠ A = 180° - 90° - 48° = 180° - 138° = 42°

(b)

using the tangent ratio in the right triangle

tan48° =
`(opposite)/(adjacent)` =
`(y)/(10)` ( multiply both sides by 10 )

10 × tan48° = y , then

y ≈ 11.1 units ( to the nearest tenth )

(c)

using the cosine ratio in the right triangle

cos48° =
`(adjacent)/(hypotenuse)` =
`(10)/(x)` ( multiply both sides by x )

x × cos48° = 10 ( divide both sides by cos48° )

x =
`(10)/(cos48)` ≈ 14.9 units ( to the nearest tenth )