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
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<h3>After 6 weeks from now you will have $190 in your bank account</h3>
<em><u>Solution:</u></em>
Given that,
You have $55 in your bank account
Each week you deposit $8 from your allowance and $15 from your paycheck
<em><u>The equation that gives the amount b in your account after w weeks is:</u></em>
b = 55 + (15 + 8)w
<em><u>How many weeks from now will you have $190 in your bank account ?</u></em>
b = 190
w = ?
Therefore,
190 = 55 + (15 + 8) w
190 = 55 + 23w
23w = 190 - 55
23w = 135
Divide both sides by 23
Thus after 6 weeks from now you will have $190 in your bank account