Please help, ASAP. Thank you <3
2 answers:
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Your answer is 75°.
To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:
b² = a² + c² - 2×a×c×cos(B)
b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)
b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5
b² = 8 - 2 = 6
b = √6
Then you use this length in the sine rule, and find the angle:
sin(A) = (√6 + √2)/4
A = 75
I hope this helps! Let me know if you have any questions
Answer and Step-by-step explanation:
This problem requires the use of trigonometric functions, specifically the tangent trig function.
Plug in the values.
Multiply by x to both sides, then divide by tan(40) to both sides.
Now, plug this into a calculator and rounded to the nearest whole number (foot).
x = 9534.0287
x = 9534 ft.
The answer is 9534 ft., the last option.
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