Angle of Elevation: Find the Height "h" in this Right Triangle | Fast & Easy Tutorial

Learn how to find the side length of this right triangle by using trigonometry. Step-by-step explanation by PreMath.com

[@sameerqureshi-kh7cc]

Sir your way of teaching is amazing! Love from Pakistan 🌹🌹🌹🌹

[@PreMath]

Thanks Sameer. You are awesome. Keep it up dear😀

[@sameerqureshi-kh7cc]

@@PreMath no sir not me, you are awesome, teachers like you are the assets of any school or college 🙂

[@philipkudrna5643]

Before watching: I derived a formular for h: h=40*tan 15*tan 25 / (tan 25 - tan 15) Using a calculator this results in 25,19615. After watching: 😎 My result seems to be even more accurate, since I left the calculator for the very end and thus did not have any rounding effects distort the result…

[@ronleblanc1094]

rounding to least significant digits always gives me that "not good enough" feeling

[@PreMath]

Good job Philip You are the best. Keep it up dear😀

[@jim2376]

I did the same. Much easier.

[@kenrasmussen8806]

The generalized formula of this allows one to find the height if buildings using the angles of elevation from 2 external observation points and the distance between them.

[@ynawhat4430]

how did you get 0.4253?????? reply asap kuya!!!

[@frededene8645]

Tan 25 is equivalent to 0.4663

[@nancymatro8029]

another solution: * applying Law of Sines to triangle ABD: length BD = 40 * sin 15 / sin 10 * applying Law of Sines to triangle BCD: h = (40 * sin 15 * sin 25 ) / sin 10 ~= 25.2 I love this channel ♥

[@mayaremad4131]

i agree with you 😊

[@anakimmonday4786]

where did u get the sin 10?

[@georgesadler7830]

Thank you for a fantastic video.

[@AfunanyaChristopher]

Thanks ... man,amazing

[@user-xk7qx7zc6p]

You are simply the best from Algeria

[@xyreezjayjungco2878]

how did h-0.5747h became 0.4253??? please help im so confused

[@sheng9560]

Me too im confused,

[@jonahansen]

Very useful problem to know how to solve. I bet surveyors do this all the time to calculate elevations.

[@partisano75]

I love your videos! Happy November!

[@PreMath]

Happy November aw well! Thanks for the feedback You are the best. Keep it up dear😀

[@user-xk7qx7zc6p]

Simply the best from algeria

[@onrshort4583]

How I can find the value of tan 15 and 25 in mind.?

[@ZUBAIR457]

I solved this question by using the Law of Sine and got the same answer.

[@predator1702]

What an awesome solution👍 and I'm learning so much from you teacher. Thank you so much dear teacher 🙏.

[@PreMath]

You are very welcome So nice of you. Thanks for your kind words. You are the best. Keep it up dear😀

[@DonCrisostomoEibarramend-vr4fd]

How did you get 0.5747?????? Pls answer asap

[@janami-dharmam]

In school we were told that they used similar method to determine the height of the mount Everest.

[@242math]

very well done, thanks for sharing this angle of elevation problem

[@PreMath]

Very welcome my friend So nice of you. Thanks for your kind words. You are the best. Keep it up dear😀

[@andreadanieli6192]

You may say h is ABOUT 25,21 units! You calculate tan(15°)=0,268 and tan(25°)=0,4663 introducing some aproximation!

[@lalafood3981]

Sir your way of teaching is amazing , super

[@PreMath]

So nice of you Lala Thank you 👍 Keep it up dear 😃

[@kamyarjamal9057]

thanks alot

[@devondevon3416]

Rush the problem first, but realize it is easy using ASA and 15 degrees, 40 units, and 155 degrees produced length of 59.169 for length DB, then 25 degrees, 59.169 units, and 65 degrees produced a length of 25.198 Answer ( and 54.033 and 59.169)

[@chewiebacka4377]

Use sign law to find DB then sin of 25 to get CB. I got 25.12. Guess the calculator trig rounding results in the discrepancy.

[@rwex1]

The interesting thing is that the muslim scientist Albayruni used the formula to calculate the diameter of the earth

[@kalyanbasak6494]

Good evening,sir, This sum has been solved with very patience, answer comes height 25.24units is being submitted for your kind perusal, Sir, thank you

[@PreMath]

So nice of you Kalyan. Thanks for your kind words. You are the best. Keep it up dear😀

[@jim2376]

Use a formula: ((distance x tan(angle 1) x tan(angle 2))/(tan(angle 2 ) - tan(angle 1)) (40 x tan(15) x tan(25))/(tan(25) - tan(15)) = 25.19, rounded to 25.2 units.

[@gojofilm]

Nice vedo thankyou for sharing

[@PreMath]

Thanks for visiting You are the best. Keep it up dear😀

[@kathirgamalingamsuseelan9408]

h= 40÷(Cot 15-Cot 25)

[@kafaichan3371]

h = 40tan15tan25 / (tan25-tan15) = 25.20

[@RafaRafaelChannel1984]

Nice.. Ada komunitasnya juga..

[@PreMath]

Thank you 👍 Keep it up dear 😃

[@mahalakshmiganapathy6455]

Thank u

[@PreMath]

Welcome Mahalakshmi dear You are the best. Stay blessed😀

[@mikezilberbrand1663]

h/tan15- h/tan25=40

[@davidfromstow]

Presumably you need a book or similar to tell you what Tan 25 and Tan 15 are?

[@ronleblanc1094]

look up" Taylor series expansion for the tangent function" and do the calculation by hand, or buy a calculator , you'll thank me later :)

[@mahatmapodge]

In old Irish exams they provided 'Log Tables' which would be what you are thinking of. The new one is a book of Formulas and constants as Calculators are now allowed in exams

[@Yuri-zy7eg]

18.6

[@Randomthing131]

There’s no way anyone actually understands what happened here

[@VolkGreg]

40 = AC - DC 40/h = AC/h - DC/h = cot 15 - cot 25 h = 40 / (cot 15 - cot 25) = 25.196

[@denisrenaldo3506]

You mentioned the right way to solve this trigonometry exercise. As there are no "easy solution”, it’s always better to maintain trigonometric notation rather than numerical results. The solution could be either a trigonometric formula : h = 40 / (cotg 15 - cotg 25) Or it’s numerical computation but only at the end. Uncertainty should not be introduced too early to maintain exact algebraic/trigonometric formula as much as possible.

[@rudychan2003]

Although the Answer is Right. But Your Method is Not Right. 😜 h = [sin A×sin D ÷ sin (D-A)]• d h = [sin15°×sin25°÷sin10°]•40 h = 62,99% • 40 = 25,19 units! This formula was/is using for calculating mountain's height. 🗻 ↕

[@baliramkumarsinghpatel1816]

Area of a Triangle 16√6 cm², sides a = a cm, b = 8 cm and c = ? options (A) 12 cm (B) 10 cm (C) 16 cm (D) 14 cm ASKED INDIAN RAILWAY EXAM 2021. please solve easy method

[@michaelkouzmin281]

Solution by Heron's formula: c1=14 cm, c2=2*sqrt(33) cm

[@baliramkumarsinghpatel1816]

@@michaelkouzmin281 but not easy

[@kalyanbasak6494]

Morning Baliram,by trigonometry sin of angle adjacent sides 10,8,then cosine formula cos 78°27'=(10²+8²-c²)/2.10.8 ans.willbe 11.487

[@baliramkumarsinghpatel1816]

@@kalyanbasak6494 difficult

[@kalyanbasak6494]

Sorry,other proccess,c=11,49cm