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:
h = 40°
Step-by-step explanation:
These 2 angles are congruent due to the Corresponding Angles Theorem.
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Answer:</h2>
<u>The answer is </u><u>6x³ - 72x² +288 -384</u>
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Answer:
x + y ≤
3x + 5y ≥ 1100
Step-by-step explanation:
Given:
Seating capacity of theater = 250
Cost of each child ticket = $3
Cost of each adult ticket = $5
Cost per performance = $1100 at least
Find:
System of inequalities
Computation:
Let;
x = Number of children's tickets
y = Number of adult tickets
So
x + y ≤
3x + 5y ≥ 1100
12) 12, 8
12 - 8 = 4
12 + 8 = 20
Answer: 4 < x <span>< 20
13) 11, 3
11 - 3 = 8
11 + 3 = 14
Answer: 8 </span>< x <span>< 14
Hope this helps :)</span>