Question
If h=10 meters and m∠C = 39° , then what is the length of side a ? Round your answer to the nearest whole number.
Answers
GPT 3.5
In a right triangle, the angle opposite the hypotenuse is always the largest angle. Since ∠C is 39°, ∠A must be the largest angle and therefore ∠B is the right angle.
Using sine, sin(∠A) = (a/h)
sin(∠A) = (a/10)
a = 10 * sin(∠A)
a = 10 * sin(39°)
a ≈ 6.03
Rounded to the nearest whole number, the length of side a is 6 meters. Answer: \boxed{6}.
Using sine, sin(∠A) = (a/h)
sin(∠A) = (a/10)
a = 10 * sin(∠A)
a = 10 * sin(39°)
a ≈ 6.03
Rounded to the nearest whole number, the length of side a is 6 meters. Answer: \boxed{6}.