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.

[@XMorbidFateX]

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

[@nataliesepankevycova7643]

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

[@ilikeramenyum616]

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

[@tomoose_the_moose5320]

That seems like what most teachers do anymore

[@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!

[@sairamsoundararajan5190]

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

[@chandanikc1323]

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

[@johnjohnjohnson7720]

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?

[@casst346]

excellent...thanks for sharing!

[@markonfilms]

Thank you this was greatly helpful.

[@phoebegotanco7904]

exactly what I needed😭

[@particleonazock2246]

This was incredibly insctructive.

[@FryzzlethePork]

this is so very helpful thx a lot

[@songbutcher6935]

Thank you!

[@fatmakatar2808]

Thank you very much ...

[@kingsora5962]

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

[@julesc_bubblegum]

He subtracted 0.3862h from both sides of the equation. 1h - 0.3862 h = 0.6138h

[@diboraromha5423]

@@julesc_bubblegum how did he get it

[@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..

[@n_yx8]

where did you get the sin5.5?

[@Telespam]

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

[@annabella6323]

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

[@annabella6323]

Please help me out

[@led_8300]

@@annabella6323 no, go fail yourself

[@jameshalleran1877]

Thank you

[@annabella6323]

Please help me out

[@mhmus5607]

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

[@bessermt]

Try Trisolve

[@jasonwong5012]

6years later my brain still hurts

[@6kmanu]

ty

[@thespeedster6424]

Thats mad work 💀💀💀

[@medit5338]

beast

[@kedonbucchan]

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

[@kingsora5962]

Kedon Bucchan same

[@julesc_bubblegum]

He subtracted 0.3862h from both sides of the equation. 1h - 0.3862 h = 0.6138h

[@led_8300]

@@julesc_bubblegum EXTACTLY @Kedon Bucchan

[@JR-bf3bu]

How did you guys get .3862 ? My calculator keeps getting .4060? I input tan 3.5/tan 9 but it keeps getting .4060, am i doing something wrong ?

[@aetrew5499]

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

[@casst346]

can you post your 3 step sine rule process for review?

[@aetrew5499]

Step 1: 180 - 9 Step 2: Find the length of the hypotenuse using sine rule Step 3: Find the height

[@ManuelAriasTV]

But you don't know what x is. You can't use the sin rule, you potato.

[@cctang4922]

h=sin9*sin3.5*13/sin5.5

[@aunmaqsood8227]

@@ManuelAriasTV mate you know multiple angles you can use the sine law I'm pretty sure. You have to remember your angle theorems as well.