Question

Points B,C and D lie on a straight line. AC is perpendicular to BD. BC=6cm and BD=22cm. Triangle ABC has area 42cm^2. Calculate the size of angle x

Answer 1

Answer:

41.18

Step-by-step explanation:

CD=22-6=16

42=1/2×6×AC

AC=14

tanθ=O/A

tanθ=(14/16)

x=tan-1(14/16)

x=41.18

Answer 2

The measure of the angle x in the right triangle ABD is 41.2 degrees.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.

area of a triangle = 1 / 2 bh

where

• b = base of triangle
• h = height of triangle

Hence,

area of a triangle =  1 / 2 × 6 × h

42 = 3h

h = 42 / 3

h = 14 cm

DC =  22 - 6 = 16 cm

AC = 14 cm

tan x = opposite / adjacent

tan x = 14 / 16

x = tan ⁻¹ 0.875

x = 41.1859251657

x = 41.2 degrees.

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