Question

Correct answers only please!

Answer 1

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