Mathswatch help please

h = 13.8 m

Step-by-step explanation:

First you calculate the angle that is next to the 32 °. Since these are secondary angles, they add up to 180 °:

180° - 32° = 148°

The last angle in the right triangle can now be determined using the sum of the interior angles. All angles in a triangle add up to 180 °:

180° - 148° - 19° = 13°

The angle at the foot of the tree is 90 °, so you can calculate the last angle in the left triangle using the sum of the interior angles.

180° -90° - 32° = 58°

The distance BT can now be calculated using the sine law:

18 m / sin 13° = TB / sin 19°

TB = 26.05 m

Since the left triangle is right-angled, the law of sines can now be used to calculate the height of the tree:

sin 32° = h / 26.05 m

h = 13.8 m

a c

step-by-step explanation: