Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the observation deck is 1450 feet. He s

Question

Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the

observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128

feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.

in progress 0
Yến Oanh 3 weeks 2021-08-26T18:31:47+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-26T18:33:14+00:00

    9514 1404 393

    Answer:

      15.8°

    Step-by-step explanation:

    The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we’re given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is …

      Tan = Opposite/Adjacent

      tan(angle) = 1450/5128

    Then the angle is found using the inverse tangent function:

      angle = arctan(1450/5128) ≈ 15.8°

    The angle of depression is about 15.8°.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )