There is an isosceles triangle.
The triangle is like two right triangles put together.
To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.
Phytagoras Theorem :
b² = c² - a²
x² = 8² - (6÷2)²
x² = 64 - 3²
x² = 64 - 9
x² = 55
x = √55
So, the value of x is √55 (B)
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
Answer:
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Answer:
44.65 inches
Step-by-step explanation:
Height of ramp = 16 inches
Length of ramp, l
Angle formed by ramp and ground = 21°
Using Pythagoras :
Sinθ = opposite / hypotenus
Sin21° = 16 / l
0.3583679 = 16 / l
0.3583679 * l = 16
l = 16 / 0.3583679
l = 44.646855 inches
Hence, length of ramp is 44.65 inches
