Geometry Rule: SOH CAH TOA.
Sine = opposite over hypotenuse
Cosine = adjacent over hypotenuse
Tangent = opposite over hypotenuse
I won't solve all of these for you because I find that solving it on your own is an important step in learning to actually understand how this works.
Answer:
Height of plane = 25971.7 meters
Step-by-step explanation:
let H =height of plane
Let x = distance ray to the point under the plane
800 foot = 245meters
1 mile = 1609meters.
Tan 81 = 
-----------------------(1)
Tan 67 = 
-----------------------(2)
6.3134 = ------------------------(3)
2.3556 = -----------------------(4)
from (3) and (4)
H = 10158.26 + 6.3134x ---------------(a)
H = 245 + 2.2336x ---------------(b)
equating both (a) and (b) we have:
9913.26 = 3.9576x
x = 2504.74
Subst. x = 2504.74 into (a)
H = 25971.7meters
Answer: the answer is zero
Step-by-step explanation:
To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35
Divide to get 11.43 gallons.
To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30
Multiply the values to find the total cost.
This leaves you with:
37.72
So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.
I hope this is correct and helps you! :)
Given the radius r and the tangent line AB, the length of the line OA is 24 units
<h3>How to determine the length OA?</h3>
The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
Read more about tangent lines at:
brainly.com/question/14410319
#SPJ1
