Answer:
32.2 feet
using trigonometry, we find that sin(u)=VW/WU
sin50=VW/27
27sin50=32.177347
VW=32.2
Answer:
3. (-3,-2)
Step-by-step explanation:
For an absolute value the equation, the transformations are as shown:
y= ±a|b(x-h)|+k.
'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:
h= -3
and k= -2
Therefore, we get:
(-3,-2)
Step-by-step explanation:
A pyramid is made when 4 triangle meet on square then mate on each together .
Answer:
The value of x would be 20
Step-by-step explanation:
To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.
40 + 3x + 4x = 180
40 + 7x = 180
7x = 140
x = 20
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

.
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:



Now we can use the law of sines to find the distance

between Paul and Jose:



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:

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