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“ if you know the height of a ladder is 7 feet and you lean it against a barn at an angle of 70 degrees with the ground, how far up the building will you be able to reach? “

Respuesta :

abidemiokin

Answer:

7.45feet

Step-by-step explanation:

The set up will give a right angled triangle

Height of the ladder is the hypotenuse = 7 feet

Angle of elevation= 70 degrees

Required

Distance up the building you will be able to reach (Length of the ladder) which is he hypotenuse

Using SOH in trigonometry identity;

Sin 70 = opposite/hypotenuse

Sin 70 = 7/hyp

hyp = 7/sin70

hyp = 7/0.9397

hyp = 7.45 feet

Hence the will be able to go 7.45feet

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