# Math

posted by .

Mark wanted to measure the height of a nearby building. He placed a mirror on the pavement at point P, 80 feet from the base of the building. He then backed away until he saw an image on the top of the building in the mirror. If Mark is 6 feet tall, and he is standing 9 feet from the mirror, how tall is the building?

• Math -

you will have 2 similar triangles
then use the ratio ...

h/80 = 6/9 to solve for h

## Similar Questions

1. ### precal

A contractor needs to know the height of a building to estimate the cost of a job. From a point 84 feet away from the base of the building, the angle of elevation to the top of the building is found to be 44 degrees and 23'. Find the …
2. ### math

a ladder is leaning againt the side of a building. The ladder is 10 feet away from the building and touches the building at a point 24 feet above the base. How long is the ladder?
3. ### Trigonometry

A hill in Colorado makes an angle of 15.0° with the horizontal and has a building at the top. At a point 75.0 feet down the hill from the base of the building, the angle of elevation to the top of the building is 55.0°. What is the …
4. ### Trig

A 24-foot ladder is placed against a building. The building is perpendicular to the level ground so that the base of the ladder is 11 feet away from the base of the building. How far up the building, in feet, does the ladder reach?
5. ### Math

Sam wants to find the height of a window in a nearby building but it is a cloudy day with no shadows. Sam puts a mirror on the ground between himself and the building. He tilts it toward him so that when he is standing up, he sees …
6. ### Math

Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above …
7. ### Math

Sam wants to find the height of a window in a nearby building but it is cloudy. Sam puts a mirror on the ground between himself and the building. He tilts it toward him so that when he is standing up he sees the reflection of the window. …
8. ### Math

Sam wants to find the height of a window in a nearby building but it is a cloudy day. Sam puts a mirror on the ground between himself and the building. He tilts it so that when he is standing up he sees the reflection of the window. …
9. ### Math

A man standing on top of a 100 foot building sites the top of a nearby building at an angle of elevation of 3.14/8. If he knows the nearby building is 160 feet high,what is his horizontal distance from that building.
10. ### Physics

A ball is shot from the top of a building with an initial velocity of 20 m/s at an angle θ = 39° above the horizontal. If a nearby building is the same height and 55 m away, how far below the top of the building will the ball strike …

More Similar Questions