Trigonometry Problems Worksheet With Answer Key Page 3

1 6 .

(a) 0.417, (b) 0.0125, (c) 20.25, (d) 78.6227…

1 7 .

At noon the sun's rays go straight down and at 6:00 PM they go

horizontally, hence the angle of incidence of the sun's rays changes

90° in 6 hours or 15° per hour. At 2:00 PM the rays make an angle of

60° with the ground, so the following diagram relates h , the height of

the tree to the length of its shadow, 40 ft:

60°

40 ft

From the diagram, it's clear that the height is given by

h =(40 ft)tan60°=69.28 ft.

At 5:00 PM the angle of the incoming

rays with the ground will be 15°, so the length s of the shadow

will be given by h / s =tan15° or s =(69.28 ft)/tan15°=258.6 ft.

trigonometry problems, page 3

0 votes

Parent category: Education