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BRAINLIEST!!!! HELP!!
4. A 60-yard long drawbridge has one end at ground level. The other end is initially at an incline of 5°.
During one stage of the drawbridge’s motion, the raised end is 12 yards above the ground. What is the incline of the drawbridge to the nearest hundredth?

a. 78.69°
b. 11.54°
c. 11.31°
d. 78.46°

Respuesta :

Answer:

B

Step-by-step explanation:

Consider the right triangle with hypotenuse of 60 yards and the height 12 being the side opposite the angle of incline, say x°, then

sinx° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{60}[/tex], thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{12}{60}[/tex] ) ≈ 11.54°

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