A board is 114 inches long.how long is it in feet and inches
2 answers:
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The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
<h3 /><h3>What is the law of cosine?</h3>When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
Triangle ΔABC has side lengths of a = 18, b=18√3 and c = 36 inches.
- Part A: Determine the measure of angle A
Put the value, in the cosine law, the measure of angle A.
- Part B: Show how to use the unit circle to find tan A
Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,
- Part C: Calculate the area of ΔABC.
Use the following formula to find area of ΔABC.,
Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
Learn more about the law of cosine here;
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Answer:
Step-by-step explanation:
Given:
for x≤1400; N = 5
So, Δx = =∑C(a + nΔx).Δx
=C(0)Δx + C(280)Δx + C(560)Δx + C(840)Δx + C(1120)Δx
= Δx[C(0) + C(280) + C(560) + C(840) + C(1120)]
= 280[49 + 42.616 + 34.664 + 25.144 + 14.056]
=280[165.48]
=46334 approx