Solving Right Triangles Word Problems Worksheet

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• This solution will use alternate interior angles from the parallel horizontal lines, so place 40º inside the triangle by the partner (bottom right).

• This solution deals with "opposite" and "adjacent" making it a tangent problem. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25º, and the angle of elevation of the top of the second section is 40º.

In the diagram, the angle marked A nursery plants a new tree and attaches a guy wire to help support the tree while its roots take hold.

An eight foot wire is attached to the tree and to a stake in the ground.

Now, we need to find the distance between foot of the ladder and the wall.

That is, we have to find the length of θ = Opposite side/Adjacent sidetan60° = AB/BC√3 = 6/BCBC = 6/√3BC = (6/√3) x (√3/√3)BC = (6√3)/3BC = 2√3Approximate value of √3 is 1.732BC = 2 (1.732)BC = 3.464 m Here AB represents height of kite from the ground, BC represents the distance of kite from the point of observation.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.In the right triangle ABC, the side which is opposite to the angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and the remaining side is called adjacent side (BC).Now we need to find the length of the side AB.tanθ = Opposite side/Adjacent sidetan 60° = AB/BC√3 = AB/50√3 x 50 = ABAB = 50√3Approximate value of √3 is 1.732AB = 50 (1.732) AB = 86.6 m So, the height of the building is 86.6 m.In the right triangle ABC the side which is opposite to angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (BC). Sin θ = Opposite side/Hypotenuse sidesinθ = AB/ACsin 60° = AB/100√3/2 = AB/100(√3/2) x 100 = ABAB = 50 √3 m So, the height of kite from the ground 50 √3 m.Here AB represents height of the tower, BC represents the distance between foot of the tower and the foot of the tree.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.Carpenters, construction workers, designers, architects, and engineers, to name a few, deal with measurements, and as such, they deal with triangle measures, or trigonometry.Combining your skills with similar triangles, trigonometry and the Pythagorean Theorem, you are ready to tackle problems that are connected to more real world scenarios.

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