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To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake. 35° 630 yds a = ? a = yd (Round the answer to the nearest whole number.) 

          To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake.
35°
630 yds
a = ?
a = yd
(Round the answer to the nearest whole number.)
To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake. 35° 630 yds a = ? a = yd (Round the answer to the nearest whole number.)

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake. a = yd (Round the answer to the nearest whole number.)
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Transcript

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00:01 This problem says to find the distance across a lake, a surveyor looks or took the measurements in the figure shown.
00:05 Use these measurements to determine how far it is across the lake.
00:08 So what we are trying to find is the distance for a, and we are given all of our measurements in a right triangle, which means we can use trig formulas to figure out what this unknown side is.
00:19 And compared to the angle we have of 35 degrees, we are looking for the opposite side when we have the adjacent side.
00:26 So we're going to use tangent, where tangent of an angle is equal to the angle.
00:30 The opposite over adjacent side...
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