Mathematics: In ΔPQR, the measure of ∠R=90°, RQ = 80, PR = 39, and QP = 89. What is the value of the tangent of ∠Q to the nearest hundredth?

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In ΔPQR, the measure of ∠R=90°, RQ = 80, PR = 39,

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charlottiechecketts0

26.01.2022

We have been given that in ΔPQR, the measure of ∠R=90°, RQ = 80, PR = 39, and QP = 89. We are asked to find the value of the tangent of ∠Q to the nearest hundredth.

First of all, we will draw a right triangle with our given information.

We know that tangent relates opposite side of right triangle with its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see from our diagram that opposite side to angle Q is 39 and adjacent side to angle Q is 80.

$\text{tan}(Q)=\frac{39}{80}$

$\text{tan}(Q)=0.4875$

Upon rounding to nearest hundredth, we will get:

$\text{tan}(Q)\approx 0.49$

Therefore, the value of tangent of Q is approximately 0.49 units.

In ΔPQR, the measure of ∠R=90°, RQ = 80, PR = 39, and QP = 89. What is the value of the tangent of ∠

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In ΔPQR, the measure of ∠R=90°, RQ = 80, PR = 39, and QP = 89. What is the value of the tangent of ∠Q to the nearest hundredth?

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