Answer:
Hi there! I believe your answer will be D, 156°.
Step-by-step explanation:
This is because a triangle must equal 180° and you already have the degrees of two of the sides. To get the other side you need to add up the two sides, 88°, 68°, and subtract that number from 180, hencefore, receiving the number 156°.
I hope your inquiry is solved and you will better understand it for future questions.
I hope you have a great rest of your day!
X = 1st evening, y = 2nd evening, z = 3rd evening
x + y + z = 83
x = z + 7
y = 2z
z + 7 + 2z + z = 83
4z + 7 = 83
4z = 83 - 7
4z = 76
z = 76/4
z = 19 <=== 3rd evening calls
x = z + 7
x = 19 + 7
x = 26 <=== 1st evening calls
y = 2z
y = 2(19)
y = 38 <=== 2nd evening calls
Answer:659.64 feet
Step-by-step explanation:
We are given that a cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower so first of all we have to draw a diagram for this scenario as shown below figure 1
Next we are given that angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees as shown in figure 2
So from here we can conclude that as tower is 140 feet tall and the base angle between cable and ground would be also 23 degrees
so we just the trigonometric identity to find x
tan(theta) = opposite over hypotenuse
we know the angle theta = 23
opposite = 140 ( height of tower)
and base is the distance on one side of tower
so finally tan 23 = 140/x (tan = opposite over adjacent)
doing cross multiplication we get
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
Answer:
90
Step-by-step explanation:
interior angles of all triangles add up to 180 degrees
180=x+5+x-5+2x
180=4x
45=x
plug back in to find largest angle
2 (45) = 90
Answer:20 ounces of fertilizer
Step-by-step explanation: