Question

A large totem pole near Kalama, Washington, is 100 feet tall. On a particular day at noon it casts a 219-foot shadow. What is the sun's angle of elevation at that time? Round to the nearest tenth. show work

Answer 1

Answer: Angle of elevation of sun at that time is 24.51° .

Step-by-step explanation:

Since we have given that

Height of a large totem pole near Kalama, Washington = 100 feet

Length of a shadow at noon = 219 foot

We need to find the angle of elevation of sun at that time .

As  we know the formula for "Tangent ":

$\tan\theta=\frac{AB}{BC}\\\\\tan\theta=\frac{100}{219}\\\\\tan\theta=0.456\\\\\theta=\tan^{-1}(0.456)\\\\\theta=24.51\textdegree$

Hence, Angle of elevation of sun at that time is 24.51° .