Answer:
The angle of elevation for Brendan is 40°
Step-by-step 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;
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin E}{e}[/tex]
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
[tex]\frac{sin 65}{155}[/tex] = [tex]\frac{sin E}{110}[/tex]
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°
