Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Answer:
5 hours
Step-by-step explanation:
We can write a ratio
20 laps 100 laps
-------------- = --------------
1 hour x hours
Using cross products
20x = 100
Divide by 20
20x/20 = 100/20
x = 5 hours
The answer is c. Difference of squares
Answer:
11).
= 90°
12).
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since,
= 180°
and 
Therefore,
= 180°
32° +
+ 58° = 180°
= 180° - 90°
= 90°
12. Since,
= 32°
= 
= 180° + 32°
= 212°