Answer:
Line C
Step-by-step explanation:
I got it correct on my test on performance matters!!
Answer:
16.26°
Step-by-step explanation:
Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.
• Adjacent side: side on which the right angle and angle of interest lie
• Opposite side: side facing the angle of interest
• Hypotenuse side: side facing the right angle
In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.
Given these two sides, we use tangent to find the unknown angle.
![\boxed{ \tanθ = \frac{opp}{adj} }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Ctan%CE%B8%20%3D%20%20%5Cfrac%7Bopp%7D%7Badj%7D%20%20%7D)
![\tanθ = \frac{7}{24}](https://tex.z-dn.net/?f=%20%5Ctan%CE%B8%20%3D%20%20%5Cfrac%7B7%7D%7B24%7D%20)
Tasking the inverse of tangent on both sides:
![θ = \tan^{ - 1} ( \frac{7}{24} )](https://tex.z-dn.net/?f=%CE%B8%20%3D%20%20%5Ctan%5E%7B%20-%201%7D%20%28%20%5Cfrac%7B7%7D%7B24%7D%20%29%20)
θ= 16.260° (3 d.p.)
Thus, the second option is correct.
Notes:
![\boxed{ \sinθ = \frac{opp}{hyp} }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Csin%CE%B8%20%3D%20%20%5Cfrac%7Bopp%7D%7Bhyp%7D%20%20%7D)
![\boxed{ \cosθ = \frac{adj}{hyp} }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%20%5Ccos%CE%B8%20%3D%20%20%5Cfrac%7Badj%7D%7Bhyp%7D%20%20%20%7D)
Answer:
49
Step-by-step explanation:
64 - 15 = 49. So doing it backwards allows you to see the forwards and the unknown.