1.A park ranger wanted to measure the height of a tall tree. Theranger stood 9.5

Question

1.A park ranger wanted to measure the height of a tall tree. Theranger stood 9.50 m from the base of the tree; and he observed thathis line of sight made an angle of 65.2° above the horizontalas he looked at the top of the tree. The park ranger's eyes are1.80 m above the ground. What is the height of the tree?
2.A delivery truck leaves awarehouse and travels 2.60 km north. The truck makes a left turnand travels 1.25 km west before making another right turn to travel1.40 km north to arrive at its destination. What is the magnitudeand direction of the truck's displacement from thewarehouse?
2.A delivery truck leaves awarehouse and travels 2.60 km north. The truck makes a left turnand travels 1.25 km west before making another right turn to travel1.40 km north to arrive at its destination. What is the magnitudeand direction of the truck's displacement from thewarehouse?

Explanation / Answer

1) the height of the tree : H = 1.8 + 9.5tan(65.2) = 22.36 m 2) Consider the initial point as the origin coordinate with north-y,east -x => the coordinate of that destination : X = -1.25 km Y = 2.6+ 1.4 = 4 km => displacement : d =(X^2 + Y^2) = 4.19 km the angle of its that destination from the south-north line : tan = |X|/Y= 0.3125 => = 17.35ofrom west of north

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