Need help with this trigonometry word problem
2 answers:
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.
__
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
You might be interested in
Answer:
There are 35 adult dogs and 20 puppies
<em></em>
Step-by-step explanation:
<em>Represent the puppies with P and the Adult dogs with A</em>
Given
Dogs = 55
Required
Determine A and P
First, we need to sum the ratios;
Adult Dogs is then calculated as follows;
Puppies is calculated by subtracting the number of adult dogs from the total
<em>Hence;</em>
<em>There are 35 adult dogs and 20 puppies</em>