The main rules that we use here are :
i)

for nonnegative values a and b.
ii)

.
Thus, first 'decompose' the numbers in the radicals into prime factors:

.
By rule (i) we write:

.
We can collect these terms as follows:

, and by rule (ii) we have:

Answer:

.
The answer is
tan42 = x / 5, so x = 5 <span>tan42 = 4.5
the answer is </span><span>4.5</span>
400×10=4000
400×2=800
50×10=500
50×2=100
2×10=20
2×2=4
4000+800+500+100+20+4=5,424
Check answer by multiplying 452 and 12
452×12=5,424
Answer: approximately 29 feet
Explanation: You need to find a tree so that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.
The length of the shadow is an adjacent side and is 35.
The height of the tree is the opposite side. You could use X.
Tan ratio = opposite/adjacent
tan(40) = x/35
x = 35*tan(40) =29.37