Question

An observer at Point A makes measurements that show that the peak of Mount Wayne lies in a direction of 50º from Point A, with an angle of elevation of 18º. The peak of Mount Rolly lies in a direction of 340º from Point A, with an angle of elevation of 23º. The peak of Mount Maggie lies in a direction of 190º from Point A, at an angle of elevation of 13º. The distance to the peak of Mount Wayne is 2980 m. The distance to the peak of Mount Rolly is 3450 m. The distance to the peak of Mount Maggie is 5130 m.

Answer 1

Based on the angles and distances to the peaks, the horizontal distance from point A to each mountain peak is:

• Mount Wayne = 2,834.15m
• Mount Maggie = 4,998.52 m
• Mount Rolly = 3,375.75 m

What is the distance from point A to the peak of Mount Wayne?

This can be found as:

= Distance to peak x Cos(point of elevation)

= 2,980 x Cos18°

= 2,834.15 m

What is the distance from point A to the peak of Mount Maggie?

= Distance to peak x Cos13°

= 5,130 x Cos13°

= 4,998.52m

What is the distance from point A to the peak of Mount Rolly?

= 3,450 x Cos23°

= 3,375.74 m

Question is:

Determine the horizontal distance from point A to each mountain peak.

Find out more on angles of elevation at https://brainly.com/question/88158.

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