Ask Question
25 July, 16:17

Two office buildings are 51 meters apart. The height of the taller building is 207 meters. The angle of depression from the top of the taller building to the top of the shorter building is 15°. Find the height of the shorter building to the nearest meter.

+3
Answers (1)
  1. 25 July, 17:51
    0
    The answer to your question is 17 m

    Step-by-step explanation:

    Data

    distance = 51 m

    height tallest building = 207 m

    angle = 15°

    Process

    1. - Use trigonometric functions to find the difference in height of both buildings

    Use tan Ф

    tan Ф = Opposite side / Adjacent side

    Solve for the adjacent side

    Adjacent side = Opposite side / tan Ф

    Substitution

    Adjacent side = 51/tan 15

    Adjacent side = 51 / 0.268

    Adjacent side = 190.33 m

    2. - Calculate the height of the short building by subtracting the height of the tall building and the difference of heights

    Height of the small building = 207 - 190.33

    = 16.7

    ≈ 17 m
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Two office buildings are 51 meters apart. The height of the taller building is 207 meters. The angle of depression from the top of the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers