It depends on the angle of depression of the sun. The answer would be 80ft * tan(90-angle of depression)
At a depression angle of 40 degrees, the shadow would be 80 * tan (50) which equals 95.340ft
21metres
A pole casting a shadow 49 feet long with an angle of elevation of the sun of 44.8 degrees is 50 feet tall. (47.98 rounded to two places)Tangent (theta) = opposite / adjacentTangent (44.9) = X / 49X = 47.98This does not take into account the curvature of the earth, but the error in this example is inconsequential, specifically an elevation error of about 0.015 percent.
35 feet tall.
The man is 5.96 feet tall and the lamp is 17.88 feet high.
6 feet
It is nearly 40 feet
It is tan-1(170/200) = 40.365 degrees to 3 decimal places
It is: 27.35 degrees rounded to two decimal places
tan(A) = 120/100 =39.81 degrees
If the angle of elevation is 32 degrees then using the tangent ratio in trigonometry the height of the tree is 18.75 feet rounded up to two decimal places
Your missing the angle of elevation or depression.
If the angle of elevation is 60 degrees then by using the tangent ratio the length of the shadow is 8.66 feet rounded to two decimal places.
21metres
The height of a boy that casts a 4 foot long shadow depends on the angle of the sun. A tangent can be used to calculate his height if we know the angle of the sun using the equation: Height = shadow length x tangent of the angle of the sun. Using a calculator, it is easy to get the value of the tangent for any angle and then complete the equation.
Not enough information has been given to solve this problem such as: What is the angle of elevation?
A pole casting a shadow 49 feet long with an angle of elevation of the sun of 44.8 degrees is 50 feet tall. (47.98 rounded to two places)Tangent (theta) = opposite / adjacentTangent (44.9) = X / 49X = 47.98This does not take into account the curvature of the earth, but the error in this example is inconsequential, specifically an elevation error of about 0.015 percent.
Use the tangent ratio: tan = 93/26 = 74.38 degrees to 2 d.p.