Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with
the ground. How high up the wall does the ladder reach? Round your answer
to the nearest tenth of a foot if necessary.

Sagot :

Check the picture below.

View image jdoe0001

The ladder reaches 17.2-foot high up the wall.

Given that,

Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.

We have to find,

How high up the wall does the ladder reach?

According to the question,

Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.

Let, the height of the wall does the ladder reach is y,

Then,

[tex]\rm Sin\theta = \dfrac{Opposite \ side}{Hypotenuse}[/tex]

Here, Angle = 17 degree, opposite side = y, and perpendicular = 18

Therefore,

[tex]\rm Sin73 = \dfrac{y}{18}\\\\0.95 = \dfrac{y}{18}\\\\y = 18 \times 0.95\\\\y = 17.2 \ foot[/tex]

Hence, The ladder reaches 17.2-foot high up the wall.

For more details refer to the link.

https://brainly.com/question/2016644

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.