Answered

Discover a wealth of information and get your questions answered on IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

The straightest road in the USA is the Simi Highway, Route 28, in Michigan. A driver, seated in a car, is viewing a deer crossing the road. The eyes of the driver are about 3 ft above the ground, and the deer is about 3 ft in height. If the radius of the Earth is 6400 km.

Required:
a. How far away can the driver see the very top of the deer as it emerges from below the horizon?
b. If the deer is 5 feet long, what angle does the deer subtend from the driver (i.e. what is the angular size of the 5’ long deer at this distance)?

Sagot :

Answer:

a) d = 3.6 km

b) 0.024°

Explanation:

To see the top of a 1 m tall deer over the surface of a 6400 km radius perfect sphere, the angle subtended is

cosθ = 6 400 000 / (6 400 001)

θ = 0.0320293...°

d = Rtanθ = 6 400 000tan0.0320293

d = 3,577.708... m

5 ft = 1.524 m

tanθ = 1.524 / 3577.7

θ = 0.0244063...°

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.