Pre calculus
posted by jeremey .
From h a point A that is 10 meters abov level ground, the angle of elevation of the top a building is 42 degrees and the angle of depression of the base of the building is 8 degrees approximate the height of the building

Let the building height be Y
Let the horizontal distance to the building be h.
h tan 42 = a
h tan 8 = b
Y = a + b = h (tan42,+ tan 8)
For the value of h, use
h tan 8 = 10 m
Respond to this Question
Similar Questions

Pre Calc
To determine the height of the LouisianaPacific (LP) Tower, the tallest building in Conroe, Texas, a surveyor stands at a point on the ground, level with the base of the LP building. She measures the point to be 320ft from the building's … 
PreCalculus
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 angle … 
precal
From a point B that is 9 meters above level ground , the angle of elevation of the top of a building is 43 degrees and the angle of depression of the base of the building is 7 degrees. What is the height of the building. (tell what … 
PreCal/Trig
Explain how to solve the following question. Surveying: From a point A hat is 10 meters above level ground, the angle of elevation of the top of a building is 42 degrees and the angle of depression of the base of the building is 8 … 
Pre cal
From a point A is 8.20 meters above level ground,the angle of elevation of the top of a building is 31degrees 20 min and the angle of depression of the base of the building is 12degree 50 min. Approximate the heighth of the building 
maths
An observer on top of a building 66 metres high,finds the angle of elevation to the top of a taller building to be 34 degrees.The angle of depression to the foot of the same building is 51 degrees.If the buildings are on the same ground … 
Precalculus
To estimate the height of a building, two students find the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 33 degrees. From a point that is 300 feet closer to the building, … 
geometry
Two buildings are separated by an alley. Joe is looking out of a window 60 feet above the ground in one building. He observes the measurement of the angle of depression of the base of the second building to be 50 degrees and the angle … 
Math
from a lockout tower 25 meters high, a man observes from a position 1.70 meters below the top of the tower that the angle of elevation of the top of a nearby building is 12 degrees 40 minutes and the angle of depression of its base … 
Math
From the roof of a building, the angle of elevation of the top of a taller building is 37 degrees. The angle of depression of the base of the building is 28 degrees. The buildings are 21 m a part. Determine the height of the taller …