Anna has leaned a ladder against the side of her house. If the ladder reaches up to a point that is 6 meters high and the bottom of the ladder is 2 meters from the wall, what angle does the ladder make with the ground?
A.
72 degrees
B.
18 degrees
C.
0.0058 degrees
D.
5.24 degrees
In a 3-4-5 right triangle, which expression would provide the measure of the smallest acute angle?
A.
tan (3/4)
B.
tan (4/3)
C.
tan -1(3/4)
D.
tan -1(4/3)
2007-05-01 04:08:27 · 3 answers · asked by MEB 2 in Science & Mathematics ➔ Mathematics
1. arctan(6/2)=71.6 degrees--or A
2. arctan(3/4) or C
2007-05-01 04:12:20 · answer #1 · answered by bruinfan 7 · 8⤊ 1⤋
The best way I used to remember the Sin-Cos-Tan formulas:
Sin Of All (Sin = O/A); Costly American Hats (Cos= A/H); & Tan Of Alberta (Tan = O/A)
The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. The opposite side is opposite the angle in question.
This should help you solve the problems above.
2007-05-01 04:22:48 · answer #2 · answered by Madd Scientist 3 · 0⤊ 1⤋
Let angle = x°
tan x = 6 /
x = 72°
ANSWER A
Smallest angle is tan^(-1) (3/4)
ANSWER A
2007-05-01 04:30:42 · answer #3 · answered by Como 7 · 0⤊ 4⤋