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Lady bird [3.3K]
3 years ago
5

From the top of a tower that is 300 ft high, a person observes the base of a tree at an angle of depression of 45. identify the

horizontal distance from the tower to the tree rounded to the nearest foot?
answers:

A: 300ft
B: 245 ft
C: 212ft
D: 162 ft

i will give brainliest !! help ASAP
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Connect the top of the tower (assuming the person's height can be ignored), the bottom of the tower, and the tree to form a right triangle.

Since the person is looking down at a 45 degree, it means the triangle is a equilateral triangle, so the length from the base of the tower to the base of the tree is also 300ft.

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It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How
omeli [17]

Number of child tickets bought is 20

<h3><u>Solution:</u></h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

<em>Number of child tickets bought + number of adult tickets bought = 110</em>

c + a = 110 ----- eqn 1

<em><u>Also we can frame a equation as:</u></em>

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

c \times 5 + a \times 8 = 820

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c  ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

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Answer:

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Step-by-step explanation:

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The area of a circle is a=r^{2}×π. Now just plug in the values you have which is you area. 201=r^{2}×π now divide by pi on both sides you that you get about 64=r^{2}. Now find the square root on both sides which will then give you 8 as your radius. To find diameter from radius you have to multiply by 2. 8*2=16

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