Asked by Anonymous
A communication tower is 34m tall. Jane stands somewhere in front of the tower to the right and measures the angle of elevation to be 70 degrees. Bill stands somewhere in front of the tower to the left and measures the angle of elevation to be 50 degrees. How far apart are Jane and Bill if the angle between Jane, the base of the tower and bill is 90 degrees. Round to the nearest meter.
Answers
Answered by
Reiny
Did you make your sketch?
On mine I let Jane's distance to the tower's base be x m, and Bill's distance to the tower be y m
There are two right-angled triangles
For Jane:
tan70° = 34/x
x = 34/tan70°
do the same step for Bill's distance
add x and y
On mine I let Jane's distance to the tower's base be x m, and Bill's distance to the tower be y m
There are two right-angled triangles
For Jane:
tan70° = 34/x
x = 34/tan70°
do the same step for Bill's distance
add x and y
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