Answer:
a = 8
Step-by-step explanation:
4 : 3 = a : 6
Cross multiply
4*6 = a * 3
a = 4 * 2
a = 8
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Answer:
sin(x) = cos(y)
Step-by-step explanation:
Let's figure out what sin(x) and cos(y) are before we figure out the relationship.
Sine is opposite / hypotenuse. Here, the opposite side to angle x is 12 and the hypotenuse is 13. So, sin(x) = 12/13.
Cosine is adjacent / hypotenuse. Here, the adjacent side of angle y is 12 and the hypotenuse is 13. So, cos(y) = 12/13.
Now we can see the relationship: sin(x) = cos(y)
In fact, for any right triangle with angles 90°, α°, and β°, where α and β can be any angle degree that add up to 90, the following relationships are true:
sin(α) = cos(β)
and
sin(β) = cos(α)
An average worker's time is 14%. Is it true?
