Question

Simon is standing on the street corner. Simon’s eyes are 6 feet off of the ground. He is looking down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an angle of 40°, how far is he from the cockroach?

Answer 1

Answer:

6 ft

Step-by-step explanation:

Given Simon is standing on the street corner. Simon’s eyes are 6 feet off of the ground. He is looking down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an angle of 40°, how far is he from the cockroach

So Simon's eyes are 6 ft off the ground and he is looking down at a cockroach on a box one foot off the ground.

So 6 - 1 = 5 feet

Now tan θ = opposite side / adjacent side

        tan θ = 5/x

       tan 40 = 5/x

      x = 5 / tan 40

    x = 5/0.839

    x ≅ 6 ft