10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the
1 answer:
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x =
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
You might be interested in
Basically, we need to plug in the given values for the variables 
and 
into the given expression 
. First off, we can plug in all the given values into the expression, giving us 
. Now, perform the operations on the inside of the parentheses. Doing this, we get 
. Now, we use the distributive property to simplify. This gives us 
. Finally, when we add the two numbers, we get 
. Hope this helped!