Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is , where n = total number of sides.
Thus, we substitute n for 10, and you get:
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) =
Using the tangent on the building:
tan(θ) =
⇒ h = 25 · tan(θ)
= 25 ·
⇒ h = 41.66... ≈ 41.67
Answer:
Step-by-step explanation:
Right triangle trig. Super fun! We are given the vertex angle of 27 degrees. The side across from that angle is 4, and we are looking for the hypotenuse of the triangle. That is the trig ratio sin. sin of an angle is equal to the side opposite over the hypotenuse:
and, solving for hyp:
. Do that on your calculator in degree mode to get that the hypotenuse, side BD is 8.8 units.