Answer:
x = 2 or x = -5
Step-by-step explanation:
x² + 3x - 4 = 6
x² + 3x -4 - 6 = 0
x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)
x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)
(x² + 5x) (-2x -10) =0 - (You find common terms)
x(x + 5) -2(x + 5) = 0
(x - 2) (x + 5) = 0
So
x - 2 = 0 or x + 5 = 0
x =2 x = -5
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
Answer:
Step-by-step explanation:
We draw the right triangle as shown in the image attached.
Δ QRS
Where R is the right angle
Given
QR = 8
QS = 17
Now, using Pythagorean Theorem, we can find RS:
Now, we know the ratio Sine as:
Where is the angle (here angle Q)
Opposite side is RS (which is 15)
Hypotenuse is given as QS (which is 17)
So,
This is the value of SinQ.
We don't want the angle, so we'll stop here.