Trig word problem

A park ranger at point A sights a redwood tree at point B at an angle 23 degrees from a fire tower at point C, From the fire tower, the Angle between the ranger and the tree is 123 degrees. If the ranger at point A is 2.3 miles from the fire tower at point C, how far is it from the ranger to the redwood tree at point B?

  1. 👍
  2. 👎
  3. 👁
  1. Draw a triangle and use the law of sines. The angle at B (between ranger and fire tower) is B = 180 - 23 - 123 = 34 degrees. You want the distance from A to B and that is related to angle C as follows:
    AB distance/sin C = AC distance/sin B
    AB distance = (sin C/sin B)*2.3 miles
    = (sin 123/sin34)2.3 = 3.45 miles

    1. 👍
    2. 👎
  2. a flagpole casts a shadow of 12m.the sun has an angle of elevation of 36. how tall is the flagpole?

    1. 👍
    2. 👎
  3. since you know the height of the shadow and an angle, you can use a trig function to find the height of the flagpole, assuming that the triangle formed is a right triangle, unless you know the Law of Sines and the Law of Cosines.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. trigonometry ans.

    At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot. I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since

  2. geometry

    At a point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48 degrees. Find the height of the tree.

  3. trig

    Because of prevailing winds, a tree grew so that it was leaning 4 degrees from the vertical. At a point, 35 meters from the tree, the angle of elevation to the top of the tree is 23 degrees. Find the height h of the tree

  4. Pre-Calculus

    From a point on the ground 25 ft. from the foot of the tree, the angle of elevation of the top of the tree is 32 degrees. How do you find the height of the tree to the nearest foot?

  1. mathematics

    From a point p on level ground, the angle of elevation of the top of a tree is 60 degrees. if the tree is 39 m high, how far is its base from p

  2. Calculus

    Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in

  3. Physics

    A surveyor measures the distance across a straight river by the following methods: Starting directly across from a tree on the opposite bank, she walks 249 m along the river bank to establish a baseline. Then she sights across to

  4. MAT 150

    At a point on the ground 15 feet from the base of a tree the distance to the top of the tree is 1 foot more than two times the height of the tree find the height of the tree

  1. Math

    The top of a tree makes angles s and t with Points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and Point L is y meters from the base of the tree. A)In terms of x and y, find the

  2. Calc

    Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing

  3. Geometry

    A dead tree was struck by lightning, causing it to fall over at a point 10 ft up from the base of the tree. If the fall treetop forms a 40 angle with the ground, about how tall was the tree originally?

  4. Mathematics

    A tree is on bearing s 36° w from a point x and s 78°w from a point y. If x is 200m due east of y . calculate the distance of the tree from y to the nearest metre

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