Solve the following triangle. There may be two, one, or no such triangle. A =142

Question

Solve the following triangle. There may be two, one, or no such triangle. A =142.54 degree, b = 5.297 feet, a = 7.375 feet Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an integer or decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.) A. The triangle has one solution, B = degree, C = degree, c = feet. B. The triangle has two solutions. The measurements for the solution with the longer side c are as follows. B_1 = degree C_1 = degree C_1 = feet The measurements for the solution with the shorter side c are as follows. B_2 = degree C_2 = degree c_1 = feet C. The triangle has no solution.

Explanation / Answer

A=142.54 degree, a=7.375, b=5.297

Using sine law

sinA/a=sinB/b

sin 142.54/7.375=sinB/5.297

sinB= 5.297sin142.54/7.375

B=25.9 degree

C=180-A-B=11.56 degree

sin11.56/c=sin142.54/7.375

c=7.375sin11.56/sin142.54=2.43

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.