We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
Answer:
AAA
Step-by-step explanation:
angles are equal because two pairs are of alternate angles and one of vertically opposite angles
Answer:
This is an example of distribution
Step-by-step explanation:
The reason why is because the equation is linear and if you exclud the y it show that it can distribute.
Answer:
Step-by-step explanation:
The equation for the area of a circle is A=
.
A=area
r=radius
We were given the diameter of the circle not the radius, so we need to solve for the radius.
Radius=(1/2)Diameter So,
(1/2)6=3mm
Now we can solve for the area.
3^2(3.1415926)=28.2743mm
Now round to two decimal places.
28.27mm
Answer:
Slope: -1/2
Y intercept: 1
Step-by-step explanation:
