Refer to the figure.
Let AB be the height of the pole; CD be the height of the transit; BC is the distance from the base of the pole to the transit.
Triangle ADE is a right triangle with angle D measuring 26 degrees. Using the tangent function, we have
So,
Therefore, the overall height of the pole is
The height of the pole is
66.53 feet.
Answer:
4.4
Step-by-step explanation:
hope this helps
Answer:
The work is in the explanation.
Step-by-step explanation:
The sine addition identity is:
.
The sine difference identity is:
.
The cosine addition identity is:
.
The cosine difference identity is:
.
We need to find a way to put some or all of these together to get:
.
So I do notice on the right hand side the and the .
Let's start there then.
There is a plus sign in between them so let's add those together:
There are two pairs of like terms. I will gather them together so you can see it more clearly:
So this implies:
Divide both sides by 2:
By the symmetric property we can write:
The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
Area of the rectangle = 5 x 6 = 30 square feets.
Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet
Area of the given figure = 30 - 4 = 26 square feet.
Area of a triangle = 1/2 x base x height
i.e. 1/2 bh = 26
bh = 26 x 2 = 52
possible values of base and height = (1 and 52), (2 and 26), (4 and 13)
Hope this helps you out 3w+7=8
The answer is w= 1/3
Step by step:
3w+7=8
Step 1: is subtract is 7 from both sides.
3w+7-7=8-7
3w=1
Step 2: Divide both sides by 3.
3w/3 = 1/3
Your solution is:
w=1/3