A man wandering in the desert walks 2.3 mi in the direction S 31 degree W. He th

Question

A man wandering in the desert walks 2.3 mi in the direction S 31 degree W. He then turns 90 degree and walks 3.5 mi in the direction N 59 degree W. At that time, how far is he from his starting point, and what is his bearing from his starting point? Lompoc, California, is 18 mi due south of Nipomo. Buellton, California, is due east of Lompoc and S 65 degree E from Nipomo. How far is Lompoc from Buellton? A tree on one side of a river is due west of a rock on the other side of the river. From a stake 21 yd north of the rock, the bearing of the tree is S 18.2 degree W. How far is it from the rock to the tree? A boat travels on a course of bearing N 37 degree 10' W for 79.5 mi. How many miles north and how many miles west has the boat traveled? A boat travels on a course of bearing S 63 degree 50' E for 100 mi. How many miles south and how many miles east has the boat traveled? From a point on the floor the angle of elevation to the top of a door is 47 degree, while the angle of elevation to the ceiling above the door is 59 degree. If the ceiling is 10 ft above the floor, what is the vertical dimension of the door? (See Figure 17.) A man standing on the roof of a building 60.0 ft high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.5 degree, while the angle of depression from the roof of while his building to the bottom of the building next door is 63.2 degree. How tall is the building next door? In Figure 18, a person standing at point A notices that the angle of elevation to the top of the antenna is 47 degree 30'. A second person standing 33.0 ft farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 42 degree 10'. How far is the person at A from the base of the antenna? Two people decide to find the height of a tree. They position themselves 25 ft apart in line with, and on the same side of, the tree. If they find that the angles of elevation from the ground where they are standing to the top of the tree are 65 degree 44 degree, how tall is the tree?

Explanation / Answer

16. Using pythagorean theorem

2.32+3.52=d2

17.54=d2d=4.19mi

Tan theta=3.5/2.3

Theta=56.69degree

Bearing is 56.69+31= 87.69

That is S88W

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