Question

I needs help please ​

Answer 1

Angle of Elevation

If a person is looking up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. Angle of elevation problems can be solved by using trigonometry as the problem can be modeled as a right triangle.

The MIB agent is on the ground looking up at the alien at the top of the CN tower, and we need to find the angle he should shoot his laser gun. Therefore, we need to find the angle of elevation.

Diagram attached, where
`x` is the angle of elevation.

To find the angle of elevation, use the tan trig ratio:

`\tan(x)=\sf (O)/(A)`

where:

• 
  `x` is the angle
• O is the side opposite the angle
• A is the side adjacent the angle

Given:

• O = 553.3 m
• A = 67 m

Substituting the given values into the formula and solving for x:

`\implies \tan(x)=\sf (553.3)/(67)`

`\implies x= \tan^(-1) \left(\sf (553.3)/(67)\right)`

`\implies x=83.09557654...^(\circ)`

Therefore, the angle of elevation is 83° (to the nearest degree).