Geometry problem in the picture: find the missing side and round to the nearest tenth

Mathematics

1 answer:

Vlad1618 [11]2 years ago

4 0

Answer:

X= 19.9

Step-by-step explanation:

SOH CAH TOA

x is hypotenuse

Opposite is 15

Opposite & hypotenuse - sin

Sin(49) = o/h

Sin(49) = 15/h

Sin(49) x h = 15

÷Sin(49)

h = 15 ÷ Sin(49)

h=19.8751949

Hope this helps!

You might be interested in

Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
$Tan(x)= \frac{4}{2}$
$Tan(x)=2$
$Tan^{-1}(2)=63.43494882$
$Angle x=63.43$

$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
$Angle y=26.6$

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)