How to find an angle with tangent - ACT Math
Card 0 of 5
A laser is placed at a distance of 
from the base of a building that is 
tall. What is the angle of the laser (presuming that it is at ground level) in order that it point at the top of the building?
A laser is placed at a distance of
You can draw your scenario using the following right triangle:
Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:
or 
.
You can draw your scenario using the following right triangle:
Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:
Compare your answer with the correct one above
In the above triangle, 
and 
. Find 
.
In the above triangle,
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
Compare your answer with the correct one above
For the above triangle, 
and 
. Find 
.
For the above triangle,
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
Compare your answer with the correct one above
For the above triangle, 
and 
. Find 
.
For the above triangle,
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.
Compare your answer with the correct one above
What is the value of 
in the right triangle above? Round to the nearest hundredth of a degree.
What is the value of
Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:
or 
.
Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:
Compare your answer with the correct one above