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.
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Answer:
The equation is given by:
Step-by-step explanation:
Sine function:
Has the following format:
In which A is the amplitude and is the period.
Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees
This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that
During a 24-hour day, which means that the period is 24. So
So the variation is:
Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Initial temperature of 80, so: