A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g
round. If the angle of depression from the person on the building is 30°, how far are the two people away from one another? Round your answer to the nearest foot. 
1 answer:
Answer:
520 feet
Step-by-step explanation:
The easiest way to visualize this problem is to sketch a quick diagram.
For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.
Hope this helps!
You might be interested in
Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
<h3>What is the Same-side Interior Angles Theorem?</h3>The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
Learn more about the same-side interior angles theorem on:
#SPJ1
Option A: The sum for the infinite geometric series does not exist
Explanation:
The given series is
We need to determine the sum for the infinite geometric series.
<u>Common ratio:</u>
The common difference for the given infinite series is given by
Thus, the common difference is
<u>Sum of the infinite series:</u>
The sum of the infinite series can be determined using the formula,
where
Since, the value of r is 3 and the value of r does not lie in the limit
Hence, the sum for the given infinite geometric series does not exist.
Therefore, Option A is the correct answer.