Answer: The answer is 381.85 feet.
Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.
This situation is framed very nicely in the attached figure, where
BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?
From the right-angled triangle WGB, we have
and from the right-angled triangle WAB, we have'
Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.
Thus, the height of the building across the street is 381.85 feet.
Answer:
Step-by-step explanation:
Okay so I will explain the first one.
2 to the power of 4 = 2x2x2x2
2 to the power of 6 = 2x2x2x2x2x2
2 to the power of 4 = 2x2x2x2
2^4 = 16
2^6 = 64
When you are multiplying powers you add.
+
When you subtract you takeaway.
-
So you would do
4+6+4
= 14
Meaning 2 to the power of 14
2
So what is 2 to the power of 14.
You would do
2x2x2x2x2x2x2x2x2x2x2x2x2x2
The answer is 16384
You can also use a calculator
GOOD LUCK FOR YOUR TEST!
Pretty sure the distance is 8 units