Angles at right-angle add up to 90 degrees
The measure of acute angle Tryon Street forms with Barton Road is <em>33 degrees</em>
The angle is given as:
---- <em>Angle formed by Tryon Street with Olive Tree Lane. </em>
The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:
---- angle at right-angle
Make B the subject

Substitute 57 for A


Hence, the measure of acute angle is 33 degrees
Read more about acute angles at:
brainly.com/question/10334248
Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
∠UXW = 36°
∠WZX = 66°
∠UWY = 48°
∠XYZ = 42°
Use the Alternate Exterior Angles Theorem. Always remember that a triangles angles add up 180°, so you can subtract the angles you already know in a triangle to figure out the remaining angle.
Answer:

Step-by-step explanation:
The lowest possible denominator of 1/8 is 1/8.
1/8 can't be simplified anymore making this the smallest possible denominator.