To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
Answer:
x = 3, x = 4
Step-by-step explanation:
To find the zeros of the function, equate f(x) to zero, that is
(x - 3)(2x - 8) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3 ← smaller solution
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4 ← larger solution
Answer: A.4Runner cost more for $11.02
B.Cost of fuel for Elentra: 3.75*3.59=$13.46
Cost of fuel for 4Runner : 6.818*3.59=$24.48
Step-by-step explanation:
A.Find how many gallons 4Runner spends on 150 mile trip.
use proportion
22:1=150:x
22x=150
x=150/22
x=6.818 gallons
Cost of fuel for 4Runner : 6.818*3.59=$24.48
Calculation for Elentra:
40:1=150:x
40x=150
x=150/40
x=3.75 gallons
Cost of fuel for Elentra: 3.75*3.59=$13.46
Cost of fule for 4Runner-Cost of fuel for Elentra=24.48-13.46=$11.02
4Runner cost more for $11.02
B.Cost of fuel for Elentra: 3.75*3.59=$13.46
Cost of fuel for 4Runner : 6.818*3.59=$24.48
3(x + 8) = 17....distribute the 3 thru the parenthesis
3x + 24 = 17...subtract 24 from both sides
3x = 17 - 24
3x = -7...divide both sides by 3
x = -7/3 or -2 1/3 <===
