Answer:
Correct answer: Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27° angle of depression
Dt = 462 ft distance from the top of lighthouse to the boat
Db = ? distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
God is with you!!!
Step-by-step explanation:
8 battery =12
20 battery =?(x)
8x=240
x=240÷8
x=30
for 20 battery..it would cost 30
Answer:
(0,-5) and (-4,3)
Step-by-step explanation:
The given equations are
Make y the subject in the second equation;
Substitute into the first equation;
Expand:
When x=0,
This gives; (0,-5)
When x=-4
This gives (-4,3)
Answer:
ST = 12 units
Step-by-step explanation:
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have:
RS / ST = AR / ET
(21 - ST) / ST = 6 / 8
4 * (21 - ST) = 3*ST
84 - 4*ST = 3*ST
7*ST = 84
ST = 12 units
Just plug in 4 for the x
2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7
