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2 answers:
Answer:
Step-by-step explanation:
<u>Given:</u>
- Complementary angles of 180 degrees.
<u>To solve:</u>
- For x, to isolate it one side of the equation.
(3x)°+45°=180°
<h3>3x+45=180</h3><u>First, subtract by 45 from both sides.</u>
3x+45-45=180-45
<u />
<u>Solve.</u>
<u />
<u>Subtract these numbers goes from left to right.</u>
180-45=135
3x=135
<u>Divide by 3 from both sides.</u>
3x/3=135/3
<u>Solve.</u>
<u />
<u>Divide these numbers from left to right.</u>
135/3=45
- <u>Therefore, the final answer is x=45.</u>
I hope this helps, let me know if you have any questions.
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The rest of the question is as following
What is the distance from person B to the top of the hill?
===================================================
Answer;
The attached figure represents the explanation of the problem.
So, it is required to find the distance BH
It will be calculated as following
∠A = 65° and ∠B = 80°
∴ ∠H = 180° - (65° + 80° ) = 35°
But the side AB = 45
So, we can use the sine rule to find the side BH
∴ BH ≈ 71.1 feet
∴ The distance from person B to the top of the hill ≈ 71.1 feet
What is the distance from person B to the top of the hill?
===================================================
Answer;
The attached figure represents the explanation of the problem.
So, it is required to find the distance BH
It will be calculated as following
∠A = 65° and ∠B = 80°
∴ ∠H = 180° - (65° + 80° ) = 35°
But the side AB = 45
So, we can use the sine rule to find the side BH
∴ BH ≈ 71.1 feet
∴ The distance from person B to the top of the hill ≈ 71.1 feet