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4. Suppose a line $l$ is constructed perpendicular to line $\overline{AB}$ at point A 245 miles away from B, line m is constructed perpendicular to line $\overline{BC}$ at C 658 miles away from B, and that $m\angle ABC = 179.9$ (degrees). If laser beams are shot into outer space from A and C along lines $l$ and m tangent to the earth's surface, will the beams cross at some point in outer space? (See next problem.) If the answer is affirmative, use trigonometry to find how far away the point is from A. (Assume all lines lie in a Euclidean plane.)

          4. Suppose a line $l$ is constructed perpendicular to line $\overline{AB}$ at point A 245 miles away
from B, line m is constructed perpendicular to line $\overline{BC}$ at C 658 miles away from B,
and that $m\angle ABC = 179.9$ (degrees). If laser beams are shot into outer space from A
and C along lines $l$ and m tangent to the earth's surface, will the beams cross at
some point in outer space? (See next problem.) If the answer is affirmative, use
trigonometry to find how far away the point is from A. (Assume all lines lie in a
Euclidean plane.)

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4. Suppose a line l is constructed perpendicular to line AB at point A 245 miles away
from B, line m is constructed perpendicular to line BC at C 658 miles away from B,
and that m∠ ABC = 179.9 (degrees). If laser beams are shot into outer space from A
and C along lines l and m tangent to the earth's surface, will the beams cross at
some point in outer space? (See next problem.) If the answer is affirmative, use
trigonometry to find how far away the point is from A. (Assume all lines lie in a
Euclidean plane.)

Added by Jennifer D.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Sima Sarker

Step 1

We have line AB, line AC, and line m. Line AB is perpendicular to line m at point A, and line AC is perpendicular to line m at point C. We are given that point A is 245 miles away from point B, and point C is 658 miles away from point B. Now, let's consider Show more…

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Suppose a line is constructed perpendicular to line AB at point A, which is 245 miles away from B. Another line, line m, is constructed perpendicular to line BC at point C, which is 658 miles away from B. It is given that angle m_ABC is 179.9 degrees. If laser beams are shot into outer space from points A and C along the lines, and line m is tangent to the Earth's surface, will the beams cross at some point in Euclidean space? (See next problem) If the answer is affirmative, use trigonometry to find the distance between the point of intersection and point A. (Assume all lines lie in a Euclidean plane.) 179.98 245 miles 658 miles

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