trig

Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30o and 60o respectively. If the height of the building is known to be h =120 m, find the distance (in meters) between the two men.

1. 👍 0
2. 👎 0
3. 👁 97
1. Assuming that both observers are at an elevation level with the base of the building.
Height of the building, H = 120m
Distance of observer 1 = D1
Angle of elevation = α
By the definition of tangent = opp/adj
H/D1=tan(α), therefore
D1=H/tan(α)
Since H and α are known, D1 can be calculated numerically.

Distance of observer 2 = D2
Angle of elevation = β
H/D2=tan(β)
D2=H/tan(β)

Distance between observers = D2-D1

1. 👍 0
2. 👎 0
posted by MathMate

Similar Questions

1. Trigonometry

Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30 dgrees and 60 dgrees respectively. If the height of the building is known to be h equals 60 m, find the distance (in

asked by Drake on January 24, 2010
2. Pre-Calculus

1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building. 2.From a point on the ground, the

asked by Jay on January 13, 2011
3. Trig

Jenny is standing 400 feet from an 800 foot tall building. Jenny walks away from the building to a point where the angle of elevation to the top of the building is 22°. What is the angle of elevation to the top of the building

asked by Alex on February 14, 2019
4. mathd

From point A,the angle of elevation to the top of a tall building is 20 degrees.On walking 80 m towards the building,the angle of elevation is now 23 degrees.How tall is the building?

asked by Mayiisah on March 29, 2016
5. Trig

From a point A on the ground, the angle of elevation to the top of a tall building is 24.1 degrees. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2 degrees. Find the height of

asked by Jennifer on November 11, 2009
6. Maths

Standing on top of a slope of 5 degrees, i see the top of a building and an angle of elevation of 35degrees15'. i am 160cm tall and it is 12m from the building base. How tall is the building?

asked by R on June 8, 2015
7. math

when viewed from a point P, due north of a tall building, the angle of elevation of the top of the building is 40 degree ; when viewed from a point Q due east of the building, the angle of elevation is 35 degree. If the distance

asked by somay on January 25, 2016
8. Math

A pirate is on a hill looking at a building. The building is 400 feet tall. The angle of elevation from the pirate to the building is 4° and the angle of depression from the pirate to the bottom of the building is 2°. What is

asked by Alexa on July 30, 2015
9. help with trigonometry??

Jacob is standing 112 m from a building. The angle of elevation when he looks up to the top of the building is 62°. How tall is the building? I don't really understand how to solve this, please help!!

asked by Valerie on January 24, 2017
10. Per Calculus

A surveyor is standing 50 feet from the base of a building. The angle of elevation to the top of the building is 60 degrees. Approximately how tall is the building?

asked by Deontre on April 22, 2013

More Similar Questions