Answer: X=136 degrees
Explanation: A triangle has a total of 180 degrees measuring all 3 angles. 180-90-46 gives me 44 left, then subtract 44 from 180 and that gives you 136 degrees.
Answer:
Option D is correct.

Step-by-step explanation:
In triangle ADE and triangle ABC
From the figure:
[Angle] [Given]
[Angle]
AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.
By AA similarity:
⇒
Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)