Question

Need help checking my work for Trigonometry. Will mark brainist!

Answer 1

1. 0.9925 (4 d.p.)

2. 17°

3. 67°

Explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

`\sf \implies \sin X=0.2923`

`\sf \implies X=\sin^(-1)(0.2923)`

`\implies \sf X=16.99570395...^(\circ)`

`\implies \sf X=17^(\circ)\:\:(nearest\:degree)`

Question 4

Sine Ratio

`\sf \sin(\theta)=(O)/(H)`

where:

• 
  `\theta` is the angle
• O is the side opposite the angle
• H is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

• 
  `\theta` = W
• O = OS = 24
• H = OW = 26

Substitute the values into the formula and solve for W:

`\implies \sf \sin(W)=(24)/(26)`

`\implies \sf W= \sin^(-1)\left((24)/(26)\right)`

`\implies \sf W=67.38013505...^(\circ)`

`\implies \sf W=67^(\circ)\:\:(nearest\:degree)`