Hey there :)
Here we need to use Trigonometry!
The given
angle is
61°The
opposite to the angle is
22 So
x is the
adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =

tan 61 =

adj =

adj ≈ 12.19 ≈ 12
x = 12
Answer:
Perimeter of polygon B = 80 units
Step-by-step explanation:
Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

Let
be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.
Let's replace those value sin our proportion and solve for
:





We can conclude that the perimeter of polygon B is 80 units.
Because he drove 1542.75 miles in 3 days, you would have to divide 1542.75 by 3 to figure out how many miles he drove in one day.
1542.75/3 = 514.25
Then to figure out how many miles he drove per hour, you would divide 514.25 by 8.5, which is the same as 8 1/2 hours.
514.25/8.5 = 60.5
So the answer is 60.5 mph