Question

An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B?

Name: An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B?
Uploaded: 2020-07-06T06:40:41-08:00
Duration: 2 min 23 s
Channel: Ankit Gupta
Description: An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B?

          An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B?

An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B?

Added by Lori S.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Ankit Gupta

07/06/2020

Step 1

4 mi, BC = 1.3 mi, and $\angle C = 111^\circ$. We want to find the length of AB, which we denote as $c$. We can use the Law of Cosines to solve for $c$: $c^2 = a^2 + b^2 - 2ab \cos C$ where $a = BC = 1.3$ mi, $b = AC = 0.4$ mi, and $C = 111^\circ$. Show more…

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An in-line skater skates on a fitness trail along the Pacific Ocean from point A to point B. As shown below, two streets intersecting at point C also intersect the trail at A and B. In her car, the skater found the lengths of AC and BC to be approximately 0.4 mi and 1.3 mi, respectively. From a map, she estimates the included angle at C to be 111°. How far did she skate from A to B? The distance is (Round to the nearest tenth.) C 111° 1.3 mi 0.4 mi A B