Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
Answer:
What question?
Step-by-step explanation:
I don't see a question do you?
Answer: Sample. Points. A(2, 1). B(1, 3). C(3, 2). Segments ... and angle measures of the image of △ABC after a dilation with a scale factor of k? Dilating Lines ... Graph quadrilateral KLMN with vertices K(−3, 6), L(0, 6), M(3, 3), and N(−3, −3) ... Find the perimeter and area of the rectangle. b.
Step-by-step explanation:
the ratio of boys to girls is 15:9 or 15/9 or 1.67 or 5/3.
plz mark brainliest
First you would simplify the left side to get,
ln( ( 3x+1 ) / ( 5+x ) ) = ln 2
Then raise both sides as the power of e, so it would basically cancel out the ln's.
3x+1 / 5+x = 2
3x+1 = 2( 5+x )
3x+1 = 10+2x
x = 9
