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katovenus [111]
3 years ago
6

A child is sitting in a tree 8 ft off the ground. A raccoon is sighted 6.5 ft away from the base of the tree. What is the angle

of depression from where the child is sitting to the raccoon? Round to the nearest hundredth.
Mathematics
2 answers:
Katen [24]3 years ago
7 0
) 

<span>tanx = 3/10 </span>
<span>x=16.7 B </span>

<span>2) </span>

<span>tan 64 = 173/x </span>

<span>x = 84.38 D </span>

<span>3) </span>

<span>tan21 = x/442 </span>
<span>x= 169.67 B </span>

<span>4) </span>

<span>tanx = 16.2/48.3 </span>
<span>x = 18.54 A </span>


<span>5) </span>

<span>tanx = 8/6.5 </span>
<span>x = 50.91 C </span>


<span>6) </span>
<span>tan89 = 1149/x </span>
<span>x=20.06 A </span>

<span>7) </span>
<span>tanx = 21/12 </span>
<span>x= 60.26 B </span>

<span>8) B </span>

<span>9) </span>
<span>tanx = 25/63 </span>
<span>x = 21.64 C </span>

<span>10) </span>
<span>tanx = 60/15 </span>
<span>x= 75.96 D</span>
Vitek1552 [10]3 years ago
6 0
Tanx = 8/6.5 
<span>x = 50.91 </span>
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Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

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