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If the tower is 45 feet in height, how far is the partner from the base of the tower, to the • Remember that the "angle of depression" is from a horizontal line of sight downward.• It is assumed that the tower is vertical, making it perpendicular with the ground.
A ladder 5 m long, leaning against a vertical wall makes an angle of 65˚ with the ground. b) How far is the foot of the ladder from the wall? The following videos shows more examples of solving application of trigonometry word problems.
Example 1: Suppose that a 10 meter ladder is leaning against a building such that the angle of elevation from ground to the building is 62 degrees.
With respect to my angle, they've given me the "adjacent" and have asked for the "opposite", so I'll use the tangent ratio: Standardized Test Prep ACCUPLACER Math ACT Math ASVAB Math CBEST Math CHSPE Math CLEP Math COMPASS Math FTCE Math GED Math GMAT Math GRE Math MTEL Math NES Math PERT Math PRAXIS Math SAT Math TABE Math TEAS Math TSI Math more tests...
A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree angle . (Imagine that there is no slack in the cable) Here, AB represents height of the building, BC represents distance of the building from the point of observation.
Now we need to find the distance between foot of the tower and the foot of the tree (BC)θ = Opposite side/Adjacent sidetan 30° = AB/BC1/√3 = 30/BCBC = 30√3 Here BC represents height of the light house, AB represents the distance between the light house from the point of observation.
In the right triangle ABC the side which is opposite to the angle A is known as opposite side (BC), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (AB).• This problem deals with "opposite" and "hypotenuse" making it a sine problem.• From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40º.Find the distance of the foot of the ladder from the wall.Also, find the distance from the ground to the top of the ladder.Notice how the horizontal line in the angle of depression diagram is PARALLEL to the ground level.The fact that horizontal lines are always parallel guarantees that the alternate interior angles are equal in measure.A good first step, after reading the entire exercise, is to draw a right triangle and try to figure out how to label it.Once you've got a helpful diagram, the math is usually pretty straightforward.From the stake in the ground the angle of elevation of the connection with the tree is 42º.Find to the is a support wire used to hold a newly planted tree in place, preventing it from bending or up-rooting during high winds. • It is assumed that the tree is vertical, making it perpendicular with the ground.