math
posted by jen .
What is the height of a cliff if at 10 am the shadow is 2 feet long?

If we are to assume that the sun is on the horizon at 6 am, and directly overhead at noon, then at 10 am its angle of elevation is 4/6 * 90° = 60°
So, you have a nice 306090 triangle, with the short leg (the shadow) = 2, so the long leg (the cliff) is 2√3.
Not much of a cliff.
Respond to this Question
Similar Questions

trig
To calculate the height of a cliff, a surveyor takes the following measurements. The cliff's shadow is 12m, while at the same time a meter stick has a shadow of 2m. Draw a diagram and find the height of the cliff. 
geometrY
to estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and the tree's shadow end at the same point. Dave is 6 feet 4 inches tall and his shadow is 15 feet long. If he is standing 66 feet away from … 
geometrY
See the last picture at the bottom of this web page (for a pic of this exact problem). Using ratios, Tree height = T 15/66 = 6.33/T 15T = 512.73 T = 34.182 T = 34.182 when getting this answer from my question: to estimate the height … 
math
Mr Noonans daughter Kira is 5 feet tall. She casts a shadow that measures 216 feet long at the sme time that a sculture in the park casts a shadow 12 feet long. Which of the following is the approximate height of the sculpture? 
math
At a given time, the height of an object is directly proportional to the length of the shadow that is cast on the ground. A person 6 feet tall casts a shadow 1 foot long at noon. a) What is the length of the shadow cast by a flagpole … 
Math
If a tree cast a shadow 30 feet long at the same time that a boy 5 feet tall cast a shadow 3 long. Find the height in feet of the tree. 
math
Cara is five feet tall and casts a shadow of eight feet long. At the same time, a building casts a shadow 32 feet long. What is the height of the building? 
math
The shadow of a 5foot tall post is 10 feet long. At the same time a tree casts a shadow that is 24 feet long. What is the height of the tree? 
math
Don't laugh at me lol...it says Jamal is 5 feet tall. One sunny morning he notices that he casts a shadow that is 2 feet long. If the school building casts a shadow that is 7 feet long at the same time, what is the height of the building? 
math
a 6 foot red casts a shadow that is 7 feet long. the shadow of a nearby tree is 42 feet long. slove a proportion to find the height of the tree