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Elenna [48]
2 years ago
8

Tbh ive fogotten how to do all of these so plz helpppppppppp

Mathematics
1 answer:
Gwar [14]2 years ago
8 0

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}  }

\tanθ =  \frac{7}{24}

Tasking the inverse of tangent on both sides:

θ =  \tan^{ - 1} ( \frac{7}{24} )

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

\boxed{ \sinθ =  \frac{opp}{hyp}  }

\boxed{  \cosθ =  \frac{adj}{hyp}   }

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