Question

Tyler is observing the ascent of a steel beam being lifted by a crane from a position about 250 ft away. What trigonometric function models the height h in feet of the beam as a function of the angle of inclination θ from Tyler's position to the steel beam

Answer 1

Answer: $h=250 \tan \theta$

Step-by-step explanation:

Given

Tyler is 250 ft away from the crane

The angle of inclination is $\theta$

Using the figure, we can write heigh h as

$\Rightarrow \tan \theta =\dfrac{h}{250}\\\\\Rightarrow h=250\tan \theta$