Answer:
angle RUS = 65 degrees
angle STU = 90 degrees
Step-by-step explanation:
(a) find angle RUS
Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees
Since US is the diameter,
angle URS is a right-angle.
Consider triangle RUS,
sum of angles of a triangle = 25+90+RUS = 180
solve for
RUS = 180 - 25 - 90 = 65 degrees.
(b) Find STU
All diameters span a right angle at the circumference,
since we're given US is a diameter, this means that
angle STU is a right angle.
He uses sin(x):
sinx = opposite side/hypotenuse = y/ (distance eath-sun)
Since x is known and y is known, then:
Distance earth-sun = y/sinx
Answer:
x = 34 degrees
Step-by-step explanation:
there are many rules when it comes to parallel lines but this is called corresponding angles which means if we know these two are parallel lines then x and 34 will be the same therefore x will equal 34
Answer:
118.3 m²
Step-by-step explanation:
Step 1. Calculate the <em>semiperimeter</em> (s).
s = (p + q + r)/2
s = (17 + 18+ 15)/2
s = 50/2
s = 25 m
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Step 2. Calculate the <em>area</em> (A).
Use <em>Heron’s formula</em>:
A = 118.3 m²