Angle Of Depression. Help

Angle of depression-help!?

Picture a square. The sides are the wall (of height x) and a vertical line rising out of the "point" (also of height x). The top and bottom are the distance from the point to the wall, or 62'. The diagonal is the line from the top of the wall to the point; the angle between that line and the top (because it's an angle of depression) is 52 degrees.

You have a right triangle. One leg is the distance from the point to the wall (the top of your square), measuring 62'. The other leg is the height of the wall; this what you want to find. The angle next to the 62' leg is 52 degrees.

Recall SOH-CAH-TOA:
SOH: Sine = Opposite/Hypotenuse
CAH: Cosine = Adjacent/Hypotenuse;
TOA: Tangent = Opposite/Adjacent

You're interested in the two legs (the Opposite and Adjacent sides of a right triangle), so look closely at the Tangent function.

tanΘ = Opposite/Adjacent
Θ is your 52 degree angle
Opposite is the side farthest from Θ; or X
Adjacent is the side next to Θ, measuring 62'.

tan(52) = X/62
x = 62*tan(52)
= 62*1.2799
= 79.354

So rounded to the nearest foot, your wall is 79' high.

Hope that helps.

Angle of Depression & Elevation HELP!?

1. From the top of a tower 63.2 ft. high, the angles of depression of two objects situated in the same horizontal line with the base of the tower, and on the same side of the tower, are 31 degrees 16 minutes and 46 degrees 28 minutes. Find the distance between the two objects.

2. A 50 ft. long ladder with its foot in the street makes an angle of 30 degrees with the street when its top rests on one side of the street and makes an angle of 40 degrees with the street when its top rests on the other side of the street. Find how wide is the street.

3.Two towers are 60 meters apart. From the top of the smaller tower, the angle of elevation of the top of the taller tower is 40 degrees. How high is the taller tower if the height of the smaller tower is 40 meters?

Angle of Depression. Help?

From the top of a 210 ft lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees.

A. Use the angle of depression to find the distance from the base of the lighthouse to the boat. Explain your steps in fining the distance.

B) Use another angle to verify the distance you found. Explain your steps in finding the distance and tell why your method works.

Please help!

Angle Of Depression help please!?

This is the question.

A news helicopter hovers at a height of 500m. THe angles of depression of a fire moving in the direction of the helicopter are first 10 degrees then 15 degrees. How far (to the nearest metre) has the fire moved between the two observations?

I cant do this one :( Im scared ill get a question of this type in the exam : answer in the back of the book = 970m

Angle of depression problem PLEASE help?

If you imagine the earth as a circle and a point 12,500 miles away from the center, then you have your satellite. The angle of depression to the horizon would be between a line going from the satellite tangent to the earth and a line from the satellite to the center of the earth. If you draw a line from the center to the tangent on the circle, you have a right triangle (the tangent line and the radius are perpendicular).

The angle of depression would be the one outside of the circle. Relating that to the sides, we have sin x = 4000/12500. Thus, x is about 18.7 degrees

Angle of depression, need help and how to solve it with work and diagram?

Start by drawing two horizontal parallel lines, one above the other.

Put a point on the top parallel line and label it S where the ship is.
Draw a line from S so it makes an angle of 50 degrees from the top horizontal line - this line will point down to the treasure.

Label T where that 50 degree angle line hits the bottom horizontal line.

Draw a vertical line up from T to the surface of the water. Where it meets the top horizontal line, label the point O.

You now have a right triangle POT. You know PO is 200 meters (if you can make any sense out of what the problem statement is saying). You know the angle is 50 degrees.

Using trigonometry, you can now find the distance from O to T. (I suggest using the tangent function: OT/OP = tan 50 degrees.)

Trigonometry Angle of Depression help?

The angle of depression from the top of a building to a point on the ground is x = 3.14/4. How far is the point on the ground from the top of the building if the building 280m high? Round your answer to the nearest whole number.

https://www.ck12.org/flx/show/THUMB_POSTCARD/image/user%3Abgvllnzpcmrlbi5jb250cmfjdg9yqgnrmtiub3jn/3424067-1529270615-78-49-Building.PNG