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<em>Hope this helps!</em> :)
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
Answer:
Step-by-step explanation:
Let x represent the number if months it will take for the total costs of both plans to be the same.
The first plan has $50 signup fee and costs $20 per month. This means that the total cost of using the first plan in a month would be
20x + 50
The second plan has $30 sign up fee and cost $25 per month. This means that the total cost of using the first plan in a month would be
25x + 30
For the costs to be the same,
20x + 50 = 25x + 30
25x - 20x = 50 - 30
5x = 20
x = 20/5 = 4
The costs would be the sane after 4 months. The cost would be
20 × 4 + 50
= $130