Area of triangle = base x height /2
48 = (a+14)a/2
a^2 +14a = 96
a^2 + 14a - 96 = 0
Solving for a = 5.04
Tan x=opposite/adjacent
cot x=adjacent/opposite
so you need to inverse the fraction
tan x=.78 as a fraction is 78/100
-> inversed= 100/78=1.28=cot x
so it is the second option
The slide and the ladder made a right angle triangle with the ground. The angle that the slide made with the ground is labeled as

in the diagram below. We can use the trigonometry ratio to work out the size of the angle.
8.3 is the side opposite to the angle and 14.5 is the hypotenuse. We need to use the Sin ratio




° to the nearest degree
On a number line, the length of a segment is the absolute value of the difference of the coordinates. So, if point
has coordinate
and point
has coordinate
, we have

So, you have


So, yes, they are congruent.