Answer:
9 in.
Step-by-step explanation:
Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.
As such, the ratio of the sides would give the same results.
Hence,
4/6 = 10/(6 + x)
cross multiplying
4(6 + x) = 60
Dividing both sides by 4
6 + x = 15
collecting like terms
x = 15 - 6
= 9
Answer:
false
Step-by-step explanation:
Answer:
149.43 feet tall
Step-by-step explanation:
From the base of a large tree, a bird watcher is standing 50 feet away.
There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.
If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that
tan 71.5° = 
= 
Hence, h = 50 tan 71.5° =149.43 feet.
Therefore, the tree is 149.43 feet tall. (Answer)
Answer:
Angles on a straight line add up to 180°
Therefore, the interior angle D of the triangle = 180 - 150 = 30°
Draw a horizontal line of 8 cm - label DE.
Measure an angle of 30° from point D and draw a line.
Measure an angle of 90° from point E and draw a line.
These 2 lines will intersect at point F.
Erase the part of the lines that extend past the point of intersection.
