Trigonometry Applications - Angle of Elevation

A "spicy" example solving a common trigonometry application of right triangle trig. SOH-CAH-TOA and angle of elevation are topics discussed in solving the following question:

In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain.

[nataliesepankevycova]

This is amazing, thank you! You manage to explain something in 7.5 minutes what my professor couldn't in three lectures.

[XMorbidFateX]

I was almost on the verge of tears! Thank you so much!!

[ilikeramenyum]

Thank you so much, our teacher gave us a single example for the whole of applications of right triangles so I really needed this.

[Lovettolearn]

Thank you so much for this video, it looked exactly like my homework and I was able to copy you step by step to finish my homework. I hope this is not on the test!

[chandanikc]

You saved me from failing my test. thank you so much!

[sairamsoundararajan]

this problem is exactly the same as the one in my review packet! This really helped. thank you

[Hiamberlolol]

Tysm, my precalc teacher is out for three days, this helped so much😭😭😭

[Telespam]

This method is MUCH better than how mymathlab does it. Thank you

[SomUNITE]

Sine LAW can also be used…calculating hypotenuse of smaller triangle a= 13(sin3.5/sin5.5) >>~ 8.28mi or 43718.4 feet hence sin9 = h/8.28 >> h= 1.295mi or 6837.6 feet therefore x= 8.18mi or 43190.4 feet …and bigger triangle hypotenuse @3.5 angle of elevation makes 21.22 mi or 112041.6 feet of distance..

[kingsora]

where you find the. 6138???? answer pls

[johnjohnjohnson]

My teacher said it was 8.2 for some reason, could there be a different method that causes 8.2 to be the right answer?

[annabella]

When an aeroplane is 800m above the ground it is angle of elevation from a point p on the group is 30 .How for is the plane form p by the line of sight

[mhmus]

h=13 / (tand(90 - 2.5) - tand(90 - 9))

[kedonbucchan]

how did I get 0.6138 ? can't get figure out

[aetrew]

lol this is like a 3 step sine rule process, why bother with so much clutter