Somebody help me with these answers please

Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle

Nina [5.8K]

The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as $x$ .
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
$cos(59)= \frac{19}{h}$
$h= \frac{19}{cos(59)}$
$h=36.9$
Now we can use the law of sines to find the distance $x$ between Paul and Jose:
$\frac{sin(43)}{36.9} = \frac{sin(16)}{x}$
$x= \frac{36.9sin(16)}{sin(43)}$
$x=14.9$

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
$19m+14.9=33.9m$

We can conclude that Jose is 33.9m from the base of the tree.

3 0

4 years ago

Find all values of c such that f is continuous on (-[infinity], [infinity]). f(x) = { 3 - x^2 x less than or equal to c x, x &gt

yuradex [85]

Answer:

a) $c=\frac{-1+\sqrt{13}}{2}$ and $c=\frac{-1-\sqrt{13}}{2}$

Step-by-step explanation:

The idea for the solution of this equation is to find the value of c where both parts of the piecewise-defined function are the same. So we need to take the parts of the function and set them equal to each other, so we get:

$3-x^{2}=x$

and then solve for x. We move everything to one side of the equation so we get:

$x^{2}+x-3=0$

and we use the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

and we substitute:

$x=\frac{-1\pm \sqrt{(1)^2-4(1)(-3)}}{2(1)}$

and solve

$x=\frac{-1\pm \sqrt{1+12}}{2}$

$x=\frac{-1\pm \sqrt{13}}{2}$

so our two answers are:

a) $c=\frac{-1+\sqrt{13}}{2}$ and $c=\frac{-1-\sqrt{13}}{2}$

6 0

3 years ago

Find the slope between (6,1) and (3,7)

VikaD [51]

Answer:

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Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulb

anastassius [24]

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$