The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm
Answer:
35%
Step-by-step explanation:
Given data
Initial price= $80
Final price= $52
% decrease= initial-final/initial*100
% decrease= 80-52/80*100
% decrease= 28/80*100
% decrease=0.35*100
= 35%
Hence the decrease is 35%
Answer:
194
Step-by-step explanation:
t63 = t1 + (n - 1)(d)
= 8 + (63 - 1)(3)
= 8 + (62)(3)
= 8 + 186
= 194
From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.
RQ is perpendicular to QP
Triangle RQP is a right-angled triangle
by Pythagoras theorem
units (rounded to one decimal place)
