231k views
16 votes
Raul is 75 ft from the world's tallest totem pole in Alert Bay, Canada. It is 173 ft tall. Raul's eyes are 5 ft from the ground, what is the angle of elevation from his line of sight to the top of the totem pole? Round the the nearest degree.

1 Answer

1 vote

Final answer:

The angle of elevation from Raul's line of sight to the top of the totem pole is approximately 63.92 degrees.

Step-by-step explanation:

To find the angle of elevation from Raul's line of sight to the top of the totem pole, we can use trigonometry. The angle of elevation can be found using the tangent function, which is the opposite side divided by the adjacent side. In this case, the opposite side is the height of the totem pole (173 ft) and the adjacent side is the distance from Raul to the totem pole (75 ft + 5 ft). So, the tangent of the angle of elevation is (173 ft) / (80 ft). Taking the inverse tangent of this value will give us the angle of elevation.



Let's calculate it:

angle_of_elevation = arctan((173 ft) / (80 ft))

Using a calculator, we get the angle_of_elevation ≈ 63.92 degrees.

User Chronio
by
6.6k points