A flagpole that is 21 ft tall casts a shadow that is 30 ft long. What is the angle of elevation of the sun when this shadow is c
1 answer:
Answer:
34.99°
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
Let angle( X) = angle if elevation
From trigonometry, tan(X)= opposite/ adjacent
Height of the flagpole= 21 ft , which is the opposite side
The base, adjacent side = 30 ft
If we substitute the values we have
Tan(X) = 21/30
Tan(X)= 0.7
Tan-1(0.7)=34.99°
Hence, the angle of elevation of the sun when this shadow will cast is 34.99°
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Answer:
7/22
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
To subtract fractions with different denominators, you must first find the least common denominator (LCM).
You can do this by listing the multiples of each denominator.
Step 2: <u>Solve.</u>
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
22 is the LCM.
Now, we change the fractions to where they both have denominators of 22.
**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**
Now, subtract as normal.
Step 3: <u>Conclude.</u>
Therefore, 9/11 - 1/2 = 7/22.