Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
- Given the angle = Ф = 38⁰
- Hypotenuse = Tree length = c ?
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:
substituting a=5, b=20
ft
Thus, the tree is 20.6 ft tall.
Answer:
You didn't give the geometric sequence in question.
But to find the nth term of a geometric sequence, use the formula
Sn = ar^(n - 1)
Where a is the first term of the sequence
r is the common ratio of the sequence.
Example: To find the nth term of the geometric sequence
1/2, 1/4, 1/8, 1/16, ...
Here, a = 1/2
r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.
Sn = (1/2)(1/2)^( n - 1)
Apply this method to the sequence you were given, it will be helpful.
Step-by-step explanation:
x= -7 y=0
x= -3 y =-6
y =mx+b
b=-7
-6= -3m -7
-3m = 1
m= -1/3
y= -x/3 -7
88 feet
<span>√</span>484=22
Perimeter is l+l+l+l
22+22+22+22=88
