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

Answer:

see explanation

Step-by-step 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° = $\frac{opposite}{adjacent}$ = $\frac{y}{10}$ ( 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° = $\frac{adjacent}{hypotenuse}$ = $\frac{10}{x}$ ( multiply both sides by x )

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

x = $\frac{10}{cos48}$ ≈ 14.9 units ( to the nearest tenth )