Question

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

Answer 1

237.9 meters

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)