1. Questions

Trigonometry

A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 50 m downhill from the base of the tower. The angle α in the figure is determined to be 9°. Find the length of cable required for the guy wire. (Round your answer to the nearest meter.)

  1. 👍
  2. 👎
  3. 👁
Liz

  1. without the figure, I can't be certain, but I am vislualizing a hill with a tower, the hill slopes downl, and at 50m slant distance from the tower, with a cable guy at an angle of 9deg to the slope.

    Now on language, the angle of inclination of the hill (measured to the horizontal) is 58, so the angle of depression is 58, so the angle beween the tower and the hill is 90+58 deg

    So I see two angles, and included side, finding the guy wire side

    Now notice the angle of the guy to the tower at the top, 180-9-148=23 check that

    law of sines
    Length/sin148=50/sin23

    solve for length

    1. 👍
    2. 👎
    👤
    bobpursley

  2. 158

    1. 👍
    2. 👎
    Jack

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre calc

    A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of

  2. math

    A 127 foot tower is located on hill that is inclined 38° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 64 feet downhill from the base of the tower. Find the length of wire needed.

  3. Math

    A communications tower is located at the top of a steep hill, as shown in the figure below. The angle of inclination of the hill is 68°. A guy wire is to be attached to the top of the tower and to the ground, 150 meters downhill

  4. trig

    Observers at P and Q are located on the side of a hill that is inclined 32° to the horizontal, as shown. The observer at P determines the angle of elevation to a hot-air balloon to be 56°. At the same instant the observer at Q

  1. precalculus

    A radio tower is located 450 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 29 degrees and that the angle of depression to the bottom of the tower is

  2. MAth Igcse

    The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the

  3. trigonometry

    A tower 150 m high is situated at the top of a hill. At a point 650 m down the hill, the angle between the surface of the hill and the line of sight to the top of the tower is 12 deg 30 min. Find the inclination of the hill to a

  4. Math

    A communications company erects a 100-foot tall cellular telephone tower on level ground. Determine the angle of depression, θ (in degrees), from the top of the tower to a point 43 feet from the base of the tower. Round answer to

  1. MATH

    A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet

  2. maths-urgently needed

    From the top of a tower the angle of depression of an object on the horizontal ground is found to be 60degree. On descending 20 m vertically downwards from the top of the tower, the angle of depression of the object is found to be

  3. Trigonometry

    At a point on the ground 125 ft from the base of a tower, the angle of elevation to the top of the tower has a degree measure of 38 degrees. How high is the tower

  4. PRE-CALC HELP

    1) Two boats leave the same port at the same time. One travels at a speed of 27 mi/h in the direction N 50° E and the other travels at a speed of 22 mi/h in a direction S 70° E (see the figure). How far apart are the two boats

You can view more similar questions or ask a new question.