Step-by-step explanation:
S+T+U=180°{sum of angle of triangle}
- 68°+90°+U=180°
- U=180-158°
- U=22°
sin theta= p/h
sin22°=x/83
o.37=x/83
x=0.37×83
x=30.71
x=31
stay safe healthy and happy.
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: 
units.
<h3>How to calculate perimeter of a triangular figure?</h3>
Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = 
units
Height = 
units
Base is of length 
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = 
units
Perimeter = units
Thus,
The perimeter of the consider triangular pool is: units.
Learn more about perimeter here:
brainly.com/question/10466285
Answer:
5/ sqrt2
Step-by-step explanation:
A=b.a.SinC
She has 67% of the pencils.
Chester:Mary = 2:4 = 1:2
So, in the simplest case:
If Chester has one pencil Mary would have two.
There are three pencils.
Mary has two.
2/3 = 0.667 = 67% (rounded)
