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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​

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 class=

Sagot :

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° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{10}[/tex] ( 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° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

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

x = [tex]\frac{10}{cos48}[/tex] ≈ 14.9 units ( to the nearest tenth )

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