You have 3hours 25seconds left to assemble the machine.
here's the solution,
we know that, sum of <u>measures</u> of each interior angle of a <u>triangle</u> = <u>180°</u>
<u>F</u><u>igure</u><u> </u><u>1</u><u>.</u>
=》

=》

=》

=》

=》

<u>Figure</u><u> </u><u>2</u><u>.</u><u> </u>
=》

=》

=》

=》

=》

=》

<u>Figure</u><u> </u><u>3</u><u>.</u>
=》

=》

=》

=》

=》

=》

Answer:
θ is decreasing at the rate of
units/sec
or
(θ) = 
Step-by-step explanation:
Given :
Length of side opposite to angle θ is y
Length of side adjacent to angle θ is x
θ is part of a right angle triangle
At this instant,
x = 8 ,
= 7
(
denotes the rate of change of x with respect to time)
y = 8 ,
= -14
( The negative sign denotes the decreasing rate of change )
Here because it is a right angle triangle,
tanθ =
-------------------------------------------------------------------1
At this instant,
tanθ =
= 1
Therefore θ = π/4
We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or
(θ)
(tanθ) =
(y/x)
( Applying chain rule of differentiation for R.H.S as y*1/x)
θ
(θ) = 
- 
-----------------------2
Substituting the values of x , y ,
,
, θ at that instant in equation (2)
2
(θ) =
*(-14)-
*7
(θ) = 
Therefore θ is decreasing at the rate of
units/sec
or
(θ) = 
(3x12)+(2x19)-3-3-3-3-3 if that's not right super sorry