The distance between the tree and the tower is 30√3m.
Justification:
<u>Let the situation be in a right angleABC form as shown in attached figure</u>.
<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.
So, In ΔABC
tanθ = p/b
tan30° = 30/BC
1/√3 = 30/BC
BC = 30√3m.
Answer:
30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
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If you haven't memorized the ratios of this special triangle, you can use the relation ...
Tan = Opposite/Adjacent
tan(30°) = 30/d
d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
We are told that $168.00 represents 8% of the contract price; therefore,we know that
original price *( 8/100) = $168.00
Now, writing out "original price" is a bit space-consuming; therefore, we will just rename it and say
original price = OP
Then, our equation above can be written as
We solve for OP (original price) by multiplying both sides by 100 and then dividing by 8. This gives us
Hence, the original contract price is $2100.