Answer:
<h3>AB ≈ 70m</h3>
Step-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
Peter's meal costed $8.11 in total. Hope this helps :D
The angular speed of the wheel is calculated as 52.36 radians per second
<h3>How to solve for the angular speed</h3>
The revolution of this wheel is said to be at 500 in a minute
This is also called the frequency of this wheel.
This can be written as
500rev in 60 seconds. 500/60 = 8.333 per second
Angular speed is given as
pi = 22/7
f = 8.333
Formular for angular speed = ω = 2*pi*f
w = 2 * 22/7 * 8.333
= 52.36 radians per second
Read more on angular speed here:
brainly.com/question/6860269
#SPJ1
It cannot simplified further as 17 is a prime number
To find the volume of a cone use the formula: V= pi(3.14) x radius squared x height divided by 3