Answer:
Step-by-step explanation:
<u><em>Given equation is</em></u>
Adding 42 to both sides
Completing squares
Adding (3)² => 9 and (3)² => 9 to both sides
Comparing it with where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius =
Sailor moon is atop the lighthouse that is 40 feet high. She looks down and sees her best friend, memory on a boat at point C, 5
1 feet from the base of the lighthouse. Enter the measure of the angle of depression, angle b, from sailor moon to her best friend.
1 answer:
Answer:
Angle of depression = 38.1°
Step-by-step explanation:
We are told that;
- The sailor moon is atop a lighthouse with height of 40 ft.
-She sees her friend at point C which is 51ft from the base of the lighthouse.
I have attached a diagram depicting this question.
From the diagram, using congruent triangles, we can see that, the angle of depression = θ
Thus, using pythagoras theorem,
tan θ = 40/51
tan θ = 0.7843
θ = tan^(-1)0.7843
θ = 38.1°
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Answer:
Fraction form:
Decimal form: 1.71
Mixed number form: 1