python geometry help

Question

Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan(angleElevation) = treeHeight / shadowLength. Given the shadow length and angle of elevation, compute the tree height. 

Sample output with inputs: 0.4 17.5

Tree height: 7.398881327917831

Answer 1

this is INCORRECT!!!!!

shadow length = 0.4

angle = 17.5

tan 17.5 = ? / 0.4

tan 17.5 * 0.4 = ?

0.31529878887898351767706493172587 * 0.4 = 0.12611951555159340707082597269035

is NOT 7.39+.....

In order for the tree to have that height, the correct formula is:

tan 17.5 = 7.398881327917831/ (shadow_length)

This means, tan 17.5 * shadow_length = 7.39888132...

so shadow length = 7.39888132.../tan17.5 = 23.466253562926416629793642378644

The formula you need is tree_length = tan(angle)*shadow_length

The following code uses that formula and the results are consistent with the calculations presented above in bold:

I have uploaded the source code (for this problem as well as the last one about the distance formula)

as well as a screen shot of the result which is consistent with these calculations.

I must upload them as text files with *.txt extension in order to upload them.

You will have to rename these files to python source code files with *.py extension.

Here is the code

# Online Python compiler (interpreter) to run Python online.

# Write Python 3 code in this online editor and run it.

import math

print("Hello world")

#inputs the shadow length and angle

shadow_length = input("Please input the shadow length :>")

angle = input(" Please input the angle in degrees :>")

#converts the angle to radians and calculates the tangent

radians = float(angle)*math.pi/float(180)

tTangent = math.tan(radians)

print(tTangent)

#calculates object height as tangent * shadow length

obj_height = tTangent*float(shadow_length)

#output

print('The height of the object is ' + str(obj_height))