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Hey there! I'm happy to help!
We want to figure out what x is. Let's use a trigonometric ratio of our 35 degree angle to find it.
We see that x is opposite of the 35 degree angle. We also see that our hypotenuse 4.1 m. The hypotenuse is always across from the right angle.
The trigonometric ratio that deals with opposite and hypotenuse is the sine, which is the opposite divided by the hypotenuse. This gives us the following equation.
We want to solve for x, so we simply multiply both sides 4.1
If we evaluate this on our calculators, we get 2.351663389......
We round this to the nearest tenth, giving us 2.4 m.
Have a wonderful day! :D
Actually Welcome to the concept of Geometric Mean (leg) theorem.
So according to the rule, we know that, here altitude = h and left side is 6 and right side is 14 , so we get as,
==> altitude/left = right/altitude
==> h/6 = 14/h
==> h^2 = 14*6
==> h^2 = 84
2.) so now we apply the Pythagoras theorem in triangle ∆DCB
so we get as,
==> (14)^2 + h^2 = a^2
==> 196 + 84 = a^2
==> 280 = a^2
==> a = √280
==> after simplified => a = √70*4
==> a = 2√70 units
hence the correct answer is a => 2√70 units.