Please help! i’m really struggling

Mathematics

1 answer:

iragen [17]3 years ago

3 0

Answer:

Therefore the value of x in the triangle is 61.9°.

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠A = x°

AB = 8 = adjacent side of 'x'

BC = 15 = opposite side of 'x'

To Find:

x = ?

Solution:

In Right Angle Triangle ABC by Tangent Identity we have

$\tan A = \frac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

substituting the above given values we get

$\tan x = \dfrac{BC}{AB}=\dfrac{15}{8}=1.875$

$x =\tan ^{-1}(1.875)=61.92=61.9\°$

Therefore the value of x in the triangle is 61.9°.

You might be interested in

Find the distance between (5, -4) and (-1, -2)

Arisa [49]

Answer: The distance is sqrt(40).

Step-by-step explanation:

Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)

(Look at the image I attached)

Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.

(2)^2 + (6)^2 = c^2 <--- First, we need to simplify

4 + 36 = c^2

40 = c^2 <--- Now, we need to take the square root of both sides.

c = sqrt(40)

So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.