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:
5/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
We can simplify this fraction down further by divide both numerator and denominator by 2:
10/2 = 5
12/2 = 6
5/6 will be equivalent to 10/12
Answer:
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The standard form for the equation of a circle is 
where r is the radius, and the center is (h, k).
(h, k) = (-1, 2), r = 7
Answer:
∠ XYZ ≈ 72.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanXYZ = 
= 
= 
, thus
XYZ = 
( ) ≈ 72.9° to 1 dec. place )
