Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
Answer: I believe it's 5 I am not sure
Step-by-step explanation:
Answer:
x = 16
∠A = 39
∠B = 54
∠C = 87
Step-by-step explanation:
Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180
(4x-10)+(2x+7)+(7x-25)=180
combine like terms
4x+2x+7x-10+7-25 = 180
13x-28=180
solve for x
13x=208
x = 16
plug in x to find the measure of the angle
∠A = 2(16) + 7 = 39
∠B = 4(16) - 10 = 54
∠C = 7(16) - 25 = 87
Add them together to double check your answer
39 + 54 + 87 = 180
hope this helps
Answer:
13. 108 inches
14. not similar (sides have different ratios)
15. 68
Step-by-step explanation:
13. You have two relationships between length and width:
2L + 2W = 336 . . . . . the perimeter is 336 inches
L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5
Multiplying the second equation by 5/9W, we get
5/9L = W
Now we can substitute that into the first equation to get ...
2L +2(5/9L) = 336
Multiplying by 9 gives us ...
18L +10L = 3024
And dividing by 28 gives ...
3024/28 = L = 108 . . . . inches
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14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...
2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5
Similar triangles have the same side ratios. These do not, so they are not similar triangles.
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15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.
Answer:
<h2>
R= 6</h2>
Step-by-step explanation:
So first you would have to divide 113.04 by 3.14 and you would get 36. Next you would have to square 36 to get 6 which is your radius.
