A tunnel for hydroelectric power is to be constructed through a mountain from one reservoir to another at a lower level. The distance from the top of the mountain to the lower end of the tunnel is 5.32 miles, and from the top of the mountain to the upper end of the tunnel is 2.63 miles. The angles of depression of the two slopes of the mountain are 42.7° and 48.8°, respectively. 42.7° 48.8° 2.63 mi 5.32 mi Tunnel

Calculus: Early Transcendentals
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Author:James Stewart
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Section: 12:30 pm or 2:00 pm
A tunnel for hydroelectric power is to be constructed through a mountain from one reservoir to
another at a lower level. The distance from the top of the mountain to the lower end of the
tunnel is 5.32 miles, and from the top of the mountain to the upper end of the tunnel is 2.63
miles. The angles of depression of the two slopes of the mountain are 42.7° and 48.8°,
respectively.
42.7°
48.8°
2.63 mi
5.32 mi
Tunnel
1. What is the length of the tunnel? State answer to two decimal places.
2. What angle does the tunnel make with the horizontal? State answer to the nearest tenth
of a degree.
Transcribed Image Text:Section: 12:30 pm or 2:00 pm A tunnel for hydroelectric power is to be constructed through a mountain from one reservoir to another at a lower level. The distance from the top of the mountain to the lower end of the tunnel is 5.32 miles, and from the top of the mountain to the upper end of the tunnel is 2.63 miles. The angles of depression of the two slopes of the mountain are 42.7° and 48.8°, respectively. 42.7° 48.8° 2.63 mi 5.32 mi Tunnel 1. What is the length of the tunnel? State answer to two decimal places. 2. What angle does the tunnel make with the horizontal? State answer to the nearest tenth of a degree.
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