Answer:
sine
sin = o/h
Step-by-step explanation:
The ladder leaning against the building has created a right triangle.
A right triangle is made up of 2 legs (at 90° to each other) and a hypotenuse (longest side).
Trig ratios help us calculate side lengths and interior angles of right triangles:
- sin(x) = O/H
- cos(x) = A/H
- tan(x) = O/A
where x is the angle, O = the side opposite to the angle, A = the side adjacent to the angle, H = hypotenuse
From inspection of the diagram, we need to find the hypotenuse (H) and we have been given the angle (x) and the side opposite to the angle (O):
Therefore, we can use the trig ratio sin(x) = O/H to determine H:
⇒ sin(47) =50/H
⇒ H = 50/sin(47)
⇒ H = 68.36637305... = 68 ft (nearest foot)
