A Land Developer Wants to Find the Distance Across a Small

question 267

Multiple Choice

A land developer wants to find the distance across a small lake in the middle of his proposed development.The bearing from A to B is $\mathrm { N } 31 ^ { \circ } \mathrm { W }$ .The developer leaves point A and travels 74 yards perpendicular to $\overline {A B}$ to point C.The bearing from C to point B is $\mathrm { N } 59 ^ { \circ } \mathrm { W }$ .Determine the distance, AB, across the small lake.Round distance to nearest yard.

• A)169 yards
• B)114 yards
• C)139 yards
• D)154 yards
• E)121 yards

---

Definitions:

Teenager

An individual between the ages of 13 and 19 years, characterized by rapid physical, emotional, and mental development.

College Degree

An academic degree awarded by colleges or universities to signify that a student has completed a specific course of study.

Weight Control

The practice of maintaining a healthy body weight through a balance of physical activity, a nutritious diet, and a healthy lifestyle.

Middle-Aged Women

Females generally within the age range of 45 to 65 years, often experiencing transitional life phases both biologically and socially.