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Setler [38]
3 years ago
13

Khalaf wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements shown in the figure be

low. Use these
measurements to find the length of the tunnel.
201 m
146 m
85
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a meter.
meters
Х
5
?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

237.9 meters

Step-by-step explanation:

Let x represent the length of the tunnel.

Applying the Cosine Law, we have:

x² = 201² + 146² - 2*201*146*Cos(85)

x² = 61,717 - 58,692*0.0872

x² = 61,717 - 5,117.9424

x² = 56,599.0576

x = √56,599.0576

x = 237.9 m (nearest tenth)

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