Answer:
62.7°
Step-by-step explanation:
9 = Hypotenuse
8 = Opposite
In this question we have to use some trigonometry to work out angle EFG. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 8 ÷ 9
The value of angle EFG is 62.73395555
