Question

37. MULTIPLE REPRESENTATIONS You are standing ona cliff above an ocean. You see a sailboat from yourvantage point 30 feet above the ocean.a. Draw and label a diagram of the situation.b. Make a table showing the angle of depression andthe length of your line of sight. Use the angles 40°,50°, 60°, 70°, and 80°.c. Graph the values you found in part (b), with theangle measures on the x-axis.d. Predict the length of the line of sight when theangle of depression is 30°.

Answer 1

Step-by-step explanation:

a)The line of sight is the straight line from the observer's eye to the object. The diagram representing the scenario is shown below

θ is the angle of depression

BC is the line of sight

To find the line of sight, we would apply the sine trigonometric ratio which is expressed as

Sinθ = opposite side/hypotenuse

Opposite side = 30

hypotenuse = BC

Thus,

Sinθ = 30/BC

BC = 30/Sinθ

b) The table is shown below

Angle of depression(θ) length of line of sight(BC)

40 46.67

50 39.16

60 34.64

70 31.92

80 30.46

c) The graph is shown below

d) The equation of the graph is

y =