Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
Answer:
6x+3y
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

So, the required angle of elevation of the sun is equal to
.
Answer:
exactly 12:00 midnight on a 24hour clock is represented as 00:00