A diagram would surely help here. But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet. Call this point B.
Imagine a vertical line from that spot, straight up. Label the top of this line C.
The acute angle at A is 67 degrees. You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.
We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.
We choose the tangent function to solve for the height of the building (which is the length of the opposite side.
height
By definition, tangent (67 degrees) = -------------------------------------
42 feet
Find tan 67. Multiply your result by 42 feet. This product is the height of the building.
The next item in the pattern would be 17
Answer:
1) Angle L = angle J : Given
2) Line KJ || line LM: Given
3) angle KML = KMJ: They are alternate interior angles
4) 180 - angle L - angle KLM = angle LKM
180 - angle J - angle KJM = angle JMK
5) because you know two angles of triangle, you know the third. Because angle L = angle J and angle KLM = angle angle KJM, then the remaining angle LKM must equal the remaining angle JMK
Answer:
The area of the shaded region is 
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
so
we have
assume
substitute
Well, you start at 50. For every wrong answer you lose 3 points. Lost 15, so there were 15/3=5 wrong answers.
