A bird is sitting on top of a ten foot pole looking at a piece of bread that is 30 feet from the base of the pole. What is the a
ngle of depression from the bird to the piece of bread.
1 answer:
Answer: The angle of depression is 18.3 degrees
Step-by-step explanation:
The scenario is illustrated in the attached photo
A right angle triangle ABC is formed. The angle of depression, theta forms an alternate angle of # on the ground. To determine the angle, #, we would apply trigonometric ratio
Tan# = opposite side / adjacent side
Opposite side = BC = 10 feets
Adjacent side = AB = 30 feets
Tan # = 10/30 = 0.33
# = tan^-1(0.33)
# = 18.2629
Approximately 18.3 degrees
Since # is alternate to the angle of depression, it means that they are equal. So
The angle of depression is 18.3 degrees
You might be interested in
Answer:
2x - y - 7 = 0
Step-by-step explanation:
Since the slope of parallel line are same.
So, we can easily use formula,
y - y₁ = m ( x ₋ x₁)
where, (x₁, y₁) = (8, 9)
and m is a slope of line passing through (x₁, y₁).
and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.
and, Slope = m =
here, (xₐ, yₐ) = (2, 7)
and,
⇒ m =
⇒ m = 2
Putting all values above formula. We get,
y - 9 = 2 ( x ₋ 8)
⇒ y - 9 = 2x - 16
⇒ 2x - y - 7 = 0
which is required equation.