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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<1 = 120/2 = 60
answer
60 <span>degrees</span>
Answer:
$14.9
Step-by-step explanation:
Step one:
given data
we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.
let us solve for the amount she is to pay her sister every month.
amount to be paid per month= 89.40/6
=$14.9
So that every month she pays back her sister $14.9
we don't know her balance but every month there will be a deduction.
Hence the monthly change in her balance is reflected by a deduction of $14.9
