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:
I belive the answer is 21.42% :)
Answer:
Step-by-step explanation:
Assuming this is in degrees, it is actually 0.
The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
Find out more on Percentage at: brainly.com/question/24304697
6(Mathhony’s b). Just multiply matthonys boxes by 6
