(y-y1) = m( x-x1)
y+5=2/3(x-6)
y +5 = 2/3. x - 4
y = 2/3 x - 9
The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
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Answer: 686ft
Step-by-step explanation: 0
Find the two numbers. Algebra -> Customizable Word Problem Solvers -> Numbers -> SOLUTION: The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7.
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