The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
The Answer is -3/2
Below is how I got that answer
(-12) / 6+2
-12/ 8 (Simplify the problem by adding 6 and 2, remove the parenthesis).
-3/2 (Simplify -12/8 by dividing it by 4)
Answer: B
Explanation: an isosceles triangle has 2 sides that are the same, so if the base angles are both 34° then you can multiply that by 2 to get 68°. After that you know that you're still missing one of the angles so that missing angle is x. The equation you can set up to solve for x is the following: 68° + x° = 180°
Hope this helped! :)
Answer:
The standard deviation of the data set is 
.
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)
To find the standard deviation of the following data set
we use the following formula
Step 1: Find the mean 
.
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
Step 2: Create the below table.
Step 3: Find the sum of numbers in the last column to get.
Step 4: Calculate σ using the above formula.
Answer:
$150
Step-by-step explanation:
The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150
