A highway is to be built between two towns, one of which lies40.0 km south and 9

Question

A highway is to be built between two towns, one of which lies40.0 km south and 90.0 km west of the other. What is the shortestlength of highway that can be built between the two towns, and atwhat angle would this highway be directed with respect to duewest? Length _______ km Angle ________ degrees Please help me find the answer to the question above. A highway is to be built between two towns, one of which lies40.0 km south and 90.0 km west of the other. What is the shortestlength of highway that can be built between the two towns, and atwhat angle would this highway be directed with respect to duewest? Length _______ km Angle ________ degrees Please help me find the answer to the question above.

Explanation / Answer

Use right angle relation:   402 + 902 = 98.5 km shortestdistance between towns. Angle        tan =40 / 90 = 0.444 Inverse tan :      = tan-1 (0.444)                               = 24 degrees . One town is 24 degrees south of West form theother

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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