Question

I need this done using trigonometry step by step explanation thank you,

Answer 1

30°

Explanation:

1. Label the sides

• the side opposite the right angle is the hypotenuse (hyp)
• the side opposite the angle you are trying to find (?) is the opposite (opp)
• the remaining side is the adjacent

2. Work out which trig ratio to use:

• sin θ = opp/hyp, cos θ = adj/hyp, tan θ = opp/adj, where θ is the angle you are trying to find out
• because you have the adjacent and the hypotenuse, you can use cos

3. Find the angle:

• you can substitute your values into the equation
• cos θ = 45/52
• to get θ on its own, you need to do the inverse of cos: θ = cos-1(45/52) which is 30.073.. ≈ 30°

Hope this helps!