The balloon’s vertical distance above the ground is 570.3 feet
<h3>Angle of elevation and depression</h3>
Given the following parameters
The angle of depression = 36 degrees
Base distance = 785 feet
<h3>Required</h3>
vertical distance above the ground (H)
Using the SOH CAH TOA identity
tan 36 = H/785
H = 785tan36
H = 570.3 feet
Hence the balloon’s vertical distance above the ground is 570.3 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:

Plug in the given values and solve for angle C.This gives,

Therefore, the measure of tangent of angle C is 2.05.
Y=<span><span>−5/8 which is the answer to the equation
To check plug in the y value and see if it equals out</span></span>
The solutions for the quadratic equation are given as follows:
x = -1, x = 7/5
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
y = ax^2 + bx + c
The solutions are:
In which:

For this problem, the equation is:
5x² - 2x - 7 = 0.
Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:
The solutions are:
x = -1, x = 7/5
More can be learned about quadratic equations at brainly.com/question/24737967
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