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A hot air balloon is tethered to a 100-meter rope with no slack. The balloon is 70 meters above the ground. What is the angle of elevation? (to the nearest tenth) A) 34.9° B) 43.5° C) 44.4° D) 45.6°

2 Answers

5 votes

Draw the situation.

Apply sinθ
= (opposite)/(hypotenuse)

sinθ
=(70)/(100)

θ =
sin^(-1)
((70)/(100) )

θ = 44.4°

User Palsrealm
by
8.4k points
6 votes

Answer:

The value of angle of elevation is 44.4° .

Explanation:

Given as :

The measure of the rope of hot air balloon = 100 m

The height of balloon above the ground = 70 m

Let The angle of elevation = Ф

Now, According to question

Sin angle =
(\textrm Perpendicular)/(\textrm Hypotenuse)

Or, SinФ =
(\textrm Height of baoolon above ground)/(\textrm measure of rope)

Or, SinФ =
(70)/(100)

Or, SinФ =
(7)/(10)

∴ Ф =
Sin^(-1)(
(7)/(10))

I.e Ф = 44.4°

Hence The value of angle of elevation is 44.4° . Answer

User Priya Rani
by
8.8k points