Question

Aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?

Answer 1

The angle of elevation for Brendan is 40°

Explanation:

To find the angle of elevation of Brendan, we will follow the steps below;

we can use the sine formula to find the angle of elevation of Brendan since we were given two sides and one angle

Using the sine rule;

`(sin A)/(a)` =
`(sin E)/(e)`

From the diagram above, angle A = 65° side a = 155 m side e=110 m

angle E is what we are to find

we can now proceed to insert the values into the formula

`(sin 65)/(155)` =
`(sin E)/(110)`

cross-multiply

155 sinE = 110 sin65°

Divide both-side of the equation by 155

sin E = 110 sin65° / 155

sin E =0.64319

Take the sin⁻¹ of both-side of the equation

sin⁻¹ sin E = sin⁻¹ (0.64319)

At the left-hand side of the equation sin⁻¹ will cancel-out sin leaving us with just E

E = sin⁻¹ (0.64319)

E= 40°

The angle of elevation for Brendan is 40°